High School

What is the volume of the rectangular prism shown below?

A. 476 in³
B. 4,760 in³
C. 1,700 in³
D. 340 in³

Answer :

Final answer:

To find the volume of a rectangular prism, multiply the length, width, and height. The given question does not provide dimensions; however, an example calculation for a cube was demonstrated, starting by converting meters to centimeters and then using the formula for volume of a cube.

Explanation:

To calculate the volume of a rectangular prism, we use the formula V = length × width × height. The information provided does not include specific measurements for the sides of the rectangular prism; therefore, we cannot calculate the volume directly. In general, if you are given the dimensions, simply multiply them together to get the volume in cubic units.

If we look at the other example provided regarding a cube with sides of 0.774 m, we would first convert the meters to centimeters by multiplying by 100, since 1 meter equals 100 centimeters. As such, each side would be 77.4 cm long. The volume of a cube is found by raising the length of a side to the third power, so the volume of the cube would be 77.4 cm × 77.4 cm × 77.4 cm which equals approximately 463,097.4 cm³. When we convert from meters to centimeters and calculate volume, we should pay attention to maintaining the proper number of significant figures.