SAT (Scholastic Assessment Test) · Math

Area and volume: Practice Questions

5 multiple-choice questions marked as you go, and 1 written questions with worked solutions. All on Area and volume.

6 questions7 marksFree, no account
Question 1
1 mark

A rectangular prism has a length of \( 5 \) centimeters, a width of \( 4 \) centimeters, and a height of \( 10 \) centimeters. What is the volume of the prism in cubic centimeters?

Question 2
1 mark

A solid right circular cone has a base radius of \( 4 \) inches and a slant height of \( 5 \) inches. What is the volume of the cone, in cubic inches?

Question 3
1 mark

A pyramid has a square base with side length \( s \). If the height of the pyramid is equal to the length of the diagonal of the base, and the volume of the pyramid is \( 72\sqrt{2} \) cubic units, what is the value of \( s \)?

Question 4
1 mark

A rectangular swimming pool has a length of \( 12 \) meters, a width of \( 5 \) meters, and a uniform depth of \( 2 \) meters. What is the volume of the pool in cubic meters?

Question 5
1 mark

A right circular cylinder has a height of \( 10 \) and a base radius of \( 3 \). What is the total surface area of the cylinder?

Question 6
2 marks

A right circular cone has a base radius of 6 and a volume of \(96\pi\). What is the vertical height of the cone?

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