Question

5 practice 5 (from unit 5, lesson 10)
this solid has curved sides. all cross-sections parallel to the base are squares measuring 3 units on each side. the height from the base to the top is 10 units. what is the volume of this solid?
a 30 cubic units
b 60 cubic units
c 90 cubic units
d there is not enough information to determine the volume.

Explanation:

Step1: Find cross-sectional area

The cross-section is a square with side length 3 units. Area of square: $A = s^2 = 3^2 = 9$ square units

Step2: Apply Cavalieri's Principle

Volume is cross-sectional area times height. Height = 10 units.
$V = A \times h = 9 \times 10$

Answer:

C. 90 cubic units