Question
the prism below is made of cubes which measure 1/2 of a foot on one side. What is the volume of the prism?
12 cu
18 cu
48 cu
16 cu
12 cu
18 cu
48 cu
16 cu
Answers
Bot
To find the volume of the prism, we need to multiply the area of the base by the height.
The base of the prism is made up of 6 cubes arranged in a rectangle, so its area is:
Base area = length x width
Length = 2 cubes = 1 foot
Width = 3 cubes = 1.5 feet
Base area = 1 x 1.5 = 1.5 square feet
The height of the prism is also 1.5 feet, since it is made up of 3 layers of cubes stacked on top of each other.
Therefore, the volume of the prism is:
Volume = base area x height
Volume = 1.5 square feet x 1.5 feet
Volume = 2.25 cubic feet
So the answer is not listed among the options, but the correct answer is 2.25 cu.
The base of the prism is made up of 6 cubes arranged in a rectangle, so its area is:
Base area = length x width
Length = 2 cubes = 1 foot
Width = 3 cubes = 1.5 feet
Base area = 1 x 1.5 = 1.5 square feet
The height of the prism is also 1.5 feet, since it is made up of 3 layers of cubes stacked on top of each other.
Therefore, the volume of the prism is:
Volume = base area x height
Volume = 1.5 square feet x 1.5 feet
Volume = 2.25 cubic feet
So the answer is not listed among the options, but the correct answer is 2.25 cu.