The figure shows the measurements, in inches, of a rectangular prism.
A rectangular prism has a height of 8 inches, length of 7 inches and a width of 7 inches.
What is the volume of the prism?
(1 point)
Responses
92 cubic inches
92 cubic inches
236 cubic inches
236 cubic inches
472 cubic inches
472 cubic inches
672 cubic inches
672 cubic inches
The volume of a rectangular prism is given by the formula V = length x width x height.
Plugging in the values from the measurements given, V = 7 x 7 x 8 = 392 cubic inches.
Therefore, the correct response is missing, but the volume of the prism is actually 392 cubic inches.
is there an answer between the choices among my answer choices
Yes, among the answer choices provided, the closest answer is 472 cubic inches.
Denise is helping her dad build a clubhouse that is shaped like a rectangular prism. The height will be 8 ft. and the length will be 6 ft. If the volume of the clubhouse will be 288 ft.3
, what will be the width?
(1 point)
Responses
14 ft.
14 ft.
10 ft.
10 ft.
6 ft.
6 ft.
4 ft.
To find the width, we use the formula for the volume of a rectangular prism which is V = length x width x height.
Given:
height = 8 ft
length = 6 ft
volume = 288 ft^3
We can plug these values into the formula:
288 = 6 x width x 8
288 = 48 x width
Width = 288 / 48 = 6 ft
Therefore, the width of the clubhouse will be 6 ft.
So, from the choices provided, the correct answer is 6 ft.