Slicing 3D Figures
Area
Volume
Surface Area
Real-World Applications
100

What 2D shape results when a cube is sliced parallel to its base?

Square

100

What is the area of a rectangle with length 6 cm and width 4 cm?

24 cm^2

100

What is the formula for the volume of a rectangular prism?

l times w times h

100

What is the surface area formula for a cube?

6s²

100

A cereal box is a rectangular prism. What would you need to calculate how much cereal it can hold?

Volume

200

What shape results from a vertical slice through the point of a right rectangular pyramid?

Triangle
200

Find the area of a triangle with a base of 10 ft and height of 5 ft.

25 ft^2

200

A cube has a side length of 4 cm. What is its volume?

64cm^2

200

A cube has side lengths of 2 cm. What is its surface area?

24 cm²

200

A painter wants to paint all sides of a cube-shaped room. What will they need to calculate?

Surface Area

300

A cylinder is sliced vertically. What is the resulting shape?

Rectangle

300

Find the area of a trapezoid with bases 8 cm and 6 cm, and height 4 cm 

28cm^2

300

Find the volume of a rectangular prism with length 5 ft, width 3 ft, and height 2 ft.

30 ft^2

300

A rectangular prism has dimensions 3 × 2 × 1. Find its surface area.

22 units²

300

A swimming pool is 10 m long, 4 m wide, and 2 m deep. How much water can it hold?

80 m³

400

A cone is sliced horizontally. What 2D shape do you get?

Circle

400

What is the formula for the area of a circle?

A = pir^2

400

A triangular prism has a volume of 60 meters cubed and a base area of 10 meters squared. What is the height?

6 meters

400

What is the surface area of a right prism with a base perimeter of 12 cm, height of 5 cm, and base area of 6 cm²?

12×5 + 2×6 = 60 + 12 = 72 cm²

400

A tent is shaped like a triangular prism. The triangular base has an area of 12 ft² and the tent is 10 ft long. What is the volume?

120 ft³

500

A sphere is sliced through the center. What 2D shape results?

Circle

500

What is the area formula for a trapezoid?

A = ((base 1 + base 2)/2) times h

500

A cylinder has a radius of 3 cm and a height of 5 cm. What is the volume (use π ≈ 3.14)? 

≈141.3 cm³

500

A cylinder has a radius of 2 m and height of 4 m. Find its surface area. (Use SA = 2πr² + 2πrh, π ≈ 3.14)

≈75.36 m²

500

You slice a rectangular cake diagonally from corner to corner. What shape is the slice?

Triangle