Question 1 of 6
The diagram shows the dimensions of a storage container.
Rectangular prism with height of 8 feet and area of base as 108 square feet.
Which expression can be used to find the volume of the container?
A.
108
×
8
B.
108
÷
8
C.
108
×
8
×
8
D.
(
108
×
2
)
+
(
8
×
2
)
The correct option is C.
To find the volume of a rectangular prism, we need to multiply its three dimensions (length, width, and height). In this case, we are given the height as 8 feet and the area of the base as 108 square feet.
To find the length and width, we can divide the area of the base by one of the dimensions and then divide again by the other dimension.
So,
Length x Width = Area of Base
Length x Width = 108
Let's choose one of the dimensions as x (it doesn't matter which one):
x x Width = 108
Width = 108/x
Now, we know that the height is 8 and the length is x. So, the volume (V) of the container can be found by:
V = Length x Width x Height
V = x x (108/x) x 8
V = 864/x
So, the correct expression to find the volume of the container is:
108 x 8 x 8 = 864.
Therefore, option C is correct.