Use the image to answer the question.
An illustration shows a rectangular prism. The top, front, and right faces are visible. The edges that are not visible are indicated by a dashed line. The base is labeled upper B equals 21 centimeters squared. The bottom right edge is labeled w equals 4 centimeters. A vertical edge is labeled h equals 3 centimeters.
Find the volume of the right rectangular prism.
63 cm2
252 cm3
63 cm3
84 cm3
The formula for the volume of a rectangular prism is V = lwh, where l is the length, w is the width, and h is the height. From the illustration, we can see that the length is not labeled. However, we can use the information given to find it. The base is labeled as 21 cm², which means the area of the base is 21. The formula for the area of a rectangle is A = lw, where A is the area, l is the length, and w is the width. We know the width is 4 cm, so we can plug in these values and solve for the length:
21 = l(4)
l = 21/4
l = 5.25
Now that we know the length, width, and height, we can use the formula for volume:
V = lwh
V = (5.25)(4)(3)
V = 63
Therefore, the volume of the right rectangular prism is 63 cm³. The answer is C) 63 cm³.