Pair the given geometric descriptions of 3D figures with their corresponding exact volumes… — Armed Services Vocational Aptitude Battery (ASVAB)

Pair the given geometric descriptions of 3D figures with their corresponding exact volumes.

A cylinder with a base radius of $4$ and a height of $5$ $80\pi$
A rectangular prism measuring $8$ units long, $5$ units wide, and $2$ units high $80$
A cube having an edge length of $4$ $64$
A sphere with a radius of $3$ $36\pi$

The cylinder matches

80\pi

, the rectangular prism matches

80

, the cube matches

64

, and the sphere matches

36\pi

Matching each figure to its correct volume requires applying the specific volume formula for that geometric shape: cylinder (

V = \pi r^2h

), rectangular prism (

V = lwh

), cube (

V = s^3

), and sphere (

V = \frac{4}{3}\pi r^3

Calculate the volume of the cylinder.

V = \pi(4^2)(5) = 80\pi

Applying the cylinder volume formula

V = \pi r^2h

Calculate the volume of the rectangular prism.

V = 8 \times 5 \times 2 = 80

Applying the rectangular prism volume formula

V = lwh

Calculate the volume of the cube.

V = 4^3 = 64

Applying the cube volume formula

V = s^3

Calculate the volume of the sphere.

V = \frac{4}{3}\pi(3^3) = 36\pi

Applying the sphere volume formula

V = \frac{4}{3}\pi r^3

Volume and Surface Area of 3D Figures

Question