7th Grade Math Flashcards: Solve Area And Volume Problems

What this deck covers

This deck focuses on Solve Area And Volume Problems, giving you a quick way to review the definitions, rules, and examples that matter most for 7th Grade Math.

How to use these flashcards

Work through these flashcards in short sessions. Try to answer each prompt before flipping the card, then revisit any cards you miss until the explanation feels automatic.

Flashcard 1: State the formula for the area of a square with side length $s$.

Answer: $A=s^2$. Square area equals side length squared.

Flashcard 2: State the formula for the volume of a right prism with base area $B$ and height $h$.

Answer: $V=Bh$. Prism volume equals base area times height.

Flashcard 3: State the formula for the volume of a cube with side length $s$.

Answer: $V=s^3$. Cube volume equals side length cubed.

Flashcard 4: State the formula for the surface area of a right prism using lateral area $L$ and base area $B$.

Answer: $SA=L+2B$. Prism surface area adds lateral area plus both bases.

Flashcard 5: State the formula for the lateral area of a right prism with base perimeter $P$ and height $h$.

Answer: $L=Ph$. Lateral area equals base perimeter times prism height.

Flashcard 6: State the formula for the area of a rectangle with length $l$ and width $w$.

Answer: $A=lw$. Rectangle area equals length times width.

Flashcard 7: State the formula for the area of a trapezoid with bases $b_1,b_2$ and height $h$.

Answer: $A=\frac{1}{2}(b_1+b_2)h$. Trapezoid area uses average of parallel bases times height.

Flashcard 8: State the formula for the area of a triangle with base $b$ and height $h$.

Answer: $A=\frac{1}{2}bh$. Triangle area equals half the base times height.

Flashcard 9: State the formula for the surface area of a right prism using perimeter $P$, height $h$, and base area $B$.

Answer: $SA=Ph+2B$. Lateral area plus two base areas gives total surface area.

Flashcard 10: State the formula for the surface area of a cube with side length $s$.

Answer: $SA=6s^2$. A cube has 6 square faces, each with area $s^2$.

Flashcard 11: State the formula for the circumference of a circle with radius $r$.

Answer: $C=2\pi r$. Circumference equals twice pi times the radius.

Flashcard 12: State the formula for the area of a circle with radius $r$.

Answer: $A=\pi r^2$. Circle area equals pi times radius squared.

Flashcard 13: What is the area formula for a circle with radius $r$?

Answer: $A=\pi r^2$. Pi times radius squared gives circular area.

Flashcard 14: What is the volume formula for a right prism with base area $B$ and height $h$?

Answer: $V=Bh$. Base area times height for any right prism.

Flashcard 15: What is the area formula for a trapezoid with bases $b_1,b_2$ and height $h$?

Answer: $A=\frac{1}{2}(b_1+b_2)h$. Average of parallel bases times height.

Flashcard 16: What is the area formula for a rectangle with length $l$ and width $w$?

Answer: $A=lw$. Multiply length by width for rectangular area.

Flashcard 17: What is the surface area formula for a right prism using base area $B$ and base perimeter $P$?

Answer: $SA=2B+Ph$. Two bases plus lateral area (perimeter times height).

Flashcard 18: What is the volume formula for a cube with side length $s$?

Answer: $V=s^3$. Cube the side length for volume.

Flashcard 19: What is the surface area formula for a cube with side length $s$?

Answer: $SA=6s^2$. Six square faces, each with area $s^2$.

Flashcard 20: What is the area formula for a square with side length $s$?

Answer: $A=s^2$. Square the side length for a square's area.

Flashcard 21: What is the perimeter formula for a rectangle with length $l$ and width $w$?

Answer: $P=2l+2w$. Sum of all four sides: two lengths plus two widths.

Flashcard 22: What is the surface area formula for a rectangular prism with dimensions $l,w,h$?

Answer: $SA=2lw+2lh+2wh$. Sum of areas of all six rectangular faces.

Flashcard 23: What is the circumference formula for a circle with radius $r$?

Answer: $C=2\pi r$. Distance around circle is $2\pi$ times radius.

Flashcard 24: What is the area formula for a triangle with base $b$ and height $h$?

Answer: $A=\frac{1}{2}bh$. Half the base times height gives the triangle's area.

Flashcard 25: What is the area formula for a parallelogram with base $b$ and height $h$?

Answer: $A=bh$. Base times perpendicular height for any parallelogram.

Flashcard 26: State the formula for the area of a parallelogram with base $b$ and height $h$.

Answer: $A=bh$. Parallelogram area equals base times perpendicular height.