What is the volume of a rectangular prism with a length of 2 1/5 ft., a height of 4 1/3 ft., and a width of 5 1/2 ft.?(1 point)

Responses

52 13/30 ft3

12 1/30 ft3

35 14/15 ft3

48 1/3 ft3

3 answers

The formula to calculate the volume of a rectangular prism is V = lwh, where l is the length, w is the width, and h is the height.

Given values:
Length (l) = 2 1/5 ft. = 11/5 ft.
Width (w) = 5 1/2 ft. = 11/2 ft.
Height (h) = 4 1/3 ft. = 13/3 ft.

Plugging in these values:
V = (11/5) * (11/2) * (13/3)
V = 143/5 ft³

Converting 143/5 into mixed number:
5 goes into 143 twenty-eight times with a remainder of 3.
So, 143/5 = 28 3/5 = 28 3/5 ft³

Therefore, the volume of the rectangular prism is 28 3/5 ft³.
A right rectangular prism has a height of 14.5 cm. The area of the base of the prism is 21 cm2
. What is the volume, in cubic centimeters, of the right rectangular prism? (1 point)
Responses

315 cm3

152.25 cm3

304.5 cm3

Need more information to answer the question
To find the volume of a rectangular prism, you need to know the formula: V = B * h, where B is the area of the base and h is the height.

Given values:
Height (h) = 14.5 cm
Base area (B) = 21 cm²

Plugging in these values:
V = 21 cm² * 14.5 cm
V = 304.5 cm³

Therefore, the volume of the right rectangular prism is 304.5 cm³. Hence, the correct response is 304.5 cm3.