Solve Area and Volume Problems - 7th Grade Math
Card 1 of 25
Find the area of a parallelogram with $b=9$ and $h=4$.
Find the area of a parallelogram with $b=9$ and $h=4$.
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$36$. Using $A=bh$: $(9)(4)=36$.
$36$. Using $A=bh$: $(9)(4)=36$.
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State the formula for the area of a square with side length $s$.
State the formula for the area of a square with side length $s$.
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$A=s^2$. Square area equals side length squared.
$A=s^2$. Square area equals side length squared.
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State the formula for the volume of a right prism with base area $B$ and height $h$.
State the formula for the volume of a right prism with base area $B$ and height $h$.
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$V=Bh$. Prism volume equals base area times height.
$V=Bh$. Prism volume equals base area times height.
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State the formula for the volume of a cube with side length $s$.
State the formula for the volume of a cube with side length $s$.
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$V=s^3$. Cube volume equals side length cubed.
$V=s^3$. Cube volume equals side length cubed.
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State the formula for the surface area of a right prism using lateral area $L$ and base area $B$.
State the formula for the surface area of a right prism using lateral area $L$ and base area $B$.
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$SA=L+2B$. Prism surface area adds lateral area plus both bases.
$SA=L+2B$. Prism surface area adds lateral area plus both bases.
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State the formula for the lateral area of a right prism with base perimeter $P$ and height $h$.
State the formula for the lateral area of a right prism with base perimeter $P$ and height $h$.
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$L=Ph$. Lateral area equals base perimeter times prism height.
$L=Ph$. Lateral area equals base perimeter times prism height.
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State the formula for the area of a rectangle with length $l$ and width $w$.
State the formula for the area of a rectangle with length $l$ and width $w$.
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$A=lw$. Rectangle area equals length times width.
$A=lw$. Rectangle area equals length times width.
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State the formula for the area of a trapezoid with bases $b_1,b_2$ and height $h$.
State the formula for the area of a trapezoid with bases $b_1,b_2$ and height $h$.
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$A=\frac{1}{2}(b_1+b_2)h$. Trapezoid area uses average of parallel bases times height.
$A=\frac{1}{2}(b_1+b_2)h$. Trapezoid area uses average of parallel bases times height.
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State the formula for the area of a triangle with base $b$ and height $h$.
State the formula for the area of a triangle with base $b$ and height $h$.
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$A=\frac{1}{2}bh$. Triangle area equals half the base times height.
$A=\frac{1}{2}bh$. Triangle area equals half the base times height.
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Find the area of a rectangle with $l=7$ and $w=3$.
Find the area of a rectangle with $l=7$ and $w=3$.
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$21$. Using $A=lw$: $(7)(3)=21$.
$21$. Using $A=lw$: $(7)(3)=21$.
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Find the volume of a right rectangular prism with $l=6$, $w=2$, and $h=5$.
Find the volume of a right rectangular prism with $l=6$, $w=2$, and $h=5$.
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$60$. Volume equals $lwh$: $(6)(2)(5)=60$.
$60$. Volume equals $lwh$: $(6)(2)(5)=60$.
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Find the volume of a right triangular prism with base area $B=18$ and height $h=4$.
Find the volume of a right triangular prism with base area $B=18$ and height $h=4$.
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$72$. Using $V=Bh$: $(18)(4)=72$.
$72$. Using $V=Bh$: $(18)(4)=72$.
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Find the surface area of a cube with side length $s=4$.
Find the surface area of a cube with side length $s=4$.
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$96$. Cube has 6 faces: $SA=6s^2=6(4)^2=96$.
$96$. Cube has 6 faces: $SA=6s^2=6(4)^2=96$.
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Find the surface area of a right prism with base perimeter $P=20$, height $h=7$, and $B=24$.
Find the surface area of a right prism with base perimeter $P=20$, height $h=7$, and $B=24$.
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$188$. Using $SA=Ph+2B$: $(20)(7)+2(24)=140+48=188$.
$188$. Using $SA=Ph+2B$: $(20)(7)+2(24)=140+48=188$.
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What is the volume of a right rectangular prism with $l=5$, $w=3$, and $h=4$?
What is the volume of a right rectangular prism with $l=5$, $w=3$, and $h=4$?
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$60$. Volume equals $lwh$: $(5)(3)(4)=60$.
$60$. Volume equals $lwh$: $(5)(3)(4)=60$.
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State the formula for the surface area of a right prism using perimeter $P$, height $h$, and base area $B$.
State the formula for the surface area of a right prism using perimeter $P$, height $h$, and base area $B$.
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$SA=Ph+2B$. Lateral area plus two base areas gives total surface area.
$SA=Ph+2B$. Lateral area plus two base areas gives total surface area.
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State the formula for the surface area of a cube with side length $s$.
State the formula for the surface area of a cube with side length $s$.
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$SA=6s^2$. A cube has 6 square faces, each with area $s^2$.
$SA=6s^2$. A cube has 6 square faces, each with area $s^2$.
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What is the area of a triangle with $b=10$ and $h=6$?
What is the area of a triangle with $b=10$ and $h=6$?
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$30$. Using $A=\frac{1}{2}bh$: $\frac{1}{2}(10)(6)=30$.
$30$. Using $A=\frac{1}{2}bh$: $\frac{1}{2}(10)(6)=30$.
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What is the base area $B$ of a rectangular prism base with $l=9$ and $w=4$?
What is the base area $B$ of a rectangular prism base with $l=9$ and $w=4$?
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$36$. Base area equals $lw$: $(9)(4)=36$.
$36$. Base area equals $lw$: $(9)(4)=36$.
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What is the area of a trapezoid with $b_1=8$, $b_2=14$, and $h=5$?
What is the area of a trapezoid with $b_1=8$, $b_2=14$, and $h=5$?
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$55$. Using trapezoid formula: $\frac{1}{2}(8+14)(5)=55$.
$55$. Using trapezoid formula: $\frac{1}{2}(8+14)(5)=55$.
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What is the area of a parallelogram with $b=12$ and $h=7$?
What is the area of a parallelogram with $b=12$ and $h=7$?
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$84$. Using $A=bh$: $(12)(7)=84$.
$84$. Using $A=bh$: $(12)(7)=84$.
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State the formula for the circumference of a circle with radius $r$.
State the formula for the circumference of a circle with radius $r$.
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$C=2\pi r$. Circumference equals twice pi times the radius.
$C=2\pi r$. Circumference equals twice pi times the radius.
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State the formula for the area of a circle with radius $r$.
State the formula for the area of a circle with radius $r$.
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$A=\pi r^2$. Circle area equals pi times radius squared.
$A=\pi r^2$. Circle area equals pi times radius squared.
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A right prism has volume $V=96$ and base area $B=12$. What is its height $h$?
A right prism has volume $V=96$ and base area $B=12$. What is its height $h$?
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$8$. Since $V=Bh$, then $h=\frac{V}{B}=\frac{96}{12}=8$.
$8$. Since $V=Bh$, then $h=\frac{V}{B}=\frac{96}{12}=8$.
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A box is $8$ by $5$ by $3$. What is its volume in cubic units?
A box is $8$ by $5$ by $3$. What is its volume in cubic units?
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$120$. Volume equals $lwh$: $(8)(5)(3)=120$.
$120$. Volume equals $lwh$: $(8)(5)(3)=120$.
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