Question

1.The volume of a cube is 3,944.312 cubic centimeters. Find the length of a side. Round your answer to the nearest 10th and write only the measurement.
A.15.8
B.62.8
C.36.3
D.21.7
2.Find the volume of a cylinder whose height is 5 inches and whose radius is 3.2 inches. Use 3.14 for pi, round your answer to the nearest tenth , and write only the measurement.

Answer 1

When finding the volume of a cube, you would multiply the length x width x height. To find the volume, you would cube the length of one of the sides. For this problem, think of it as working backward because you're starting with the volume but need to know the length of a side. To do the opposite (or inverse) of cubing, you would instead find the cube root of the volume. The cube root of 3,944.312 cubic cm would give you 15.8 cm.

The formula for the volume of a cylinder is v = $\pi r^{2} h$. Take the numbers you are given in the problem and put them into the equation to get: v + $\pi (3.2 x^{2} )(5)$. After calculation this equation, you will get an answer of 160.8495. Just round to the nearest tenth to get 160.8.