Area and volume: แบบฝึกหัด

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?

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?

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 \( s \)?

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?

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

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