Volume of Prisms and Pyramids

Volume of Spheres, Prisms & Pyramids.

Lesson Opener
Day 67
April 25, 2024

What is the difference between area and volume?

​Volume of Sphere Examples

Multiple Choice

Find the volume of the Sphere

• 78.5 m³
• 392.5 m³
• 523.6 m³
• 62.8 cm³

Multiple Choice

Find the Volume of the Sphere

• 904.78 ft³

• 7,234.56 ft³
• 150.72 ft³
• 904.78 ft²

Multiple Choice

Calculate the volume:

• 1120 ft ³

• 600 ft ³

• 560 ft ³

• 64 ft ³

Multiple Choice

What is the volume of the triangular prism?

• 16 cm³

• 16 cm²

• 32 cm³

• 32 cm²

Multiple Choice

What is the volume of this rectangular prism?

• 15 cm³

• 125 cm³

• 120 cm³

Multiple Choice

Each side of this ice cube measures 2 inches. What is the volume of the ice cube?

• 6 cubic inches

• 8 cubic inches

• 12 cubic inches

Multiple Choice

• 55 yd³
• 121 yd³
• 22 yd³
• 330 yd³

Fill in the Blank

What is the volume of the pentagon?

$$V_{pentagon}\ =\ \frac{1}{2}\left(5s\ \cdot a_p\right)h$$  

Enter number only

Multiple Choice

The fish tank in the library is 3 feet long, 5 feet wide, and 4 feet deep. What is the volume of the fish tank?

• 15 ft³

• 20 ft³

• 60 ft³

Multiple Choice

Calculate the volume of the pyramid in the picture.  Round to the nearest whole number if necessary.

• 216 yd³
• 108 yd³
• 72 yd³
• 36 yd³

Multiple Choice

Find the volume.

• 108
• 54
• 18
• 36

Multiple Choice

Find the volume.

• 12789
• 2131.5
• 4263
• 609

Multiple Select

Check ALL that are examples of pyramids.

Match

Match the following

• Volume of a triangular pyramid

• Volume of a rectangular pyramid

• Volume of a triangular prism

• Volume of a rectangular prism

• Volume of a cube

V = 1/3(1/2bh)h

V = 1/3(lw)h

V = (1/2bh)h

V = lwh

V = lwh

• V = 1/3(1/2bh)h

• V = 1/3(lw)h

• V = (1/2bh)h

• V = lwh

• V = lwh

Multiple Choice

A sphere has volume of   $$\frac{256\pi}{3}\ yd^3$$ . What is the length of the DIAMETER? 

• 2 yards

• 4 yards

• 6 yards

• 8 yards