Find the surface area of the rectangular prism.
A drawing of a rectangular prism with length 4 inches, width 2 inches and height 3 inches.
The surface area is
square inches.
9 answers
2(4*2) + 2(3*2) + 2(4*3) = ?
Find the surface area of the rectangular prism.
A drawing of a rectangular prism with length 4 inches, width 2 inches and height 3 inches.
A drawing of a rectangular prism with length 4 inches, width 2 inches and height 3 inches.
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You are drawing a net that shows a rectangular prism with an area of 52 square feet. If two of the rectangles in the net are 4 ft.×3 ft., what is the value of the third measurement you need to know to have an area of 52 square feet?
To start, we know that we have two rectangles that are 4 ft. × 3 ft. each, which means they have an area of 12 square feet each. Together, they have an area of 24 square feet.
We also know that the total area of the rectangular prism is 52 square feet.
To find the third measurement, we need to subtract the area of the two rectangles from the total area:
52 sq. ft. - 24 sq. ft. = 28 sq. ft.
So, we need to find a rectangle with an area of 28 square feet. We can do this by multiplying the length and width of the rectangle:
Length × Width = Area
We know that the two rectangles have a width of 3 ft., so:
Length × 3 ft. = 28 sq. ft.
We can solve for the length by dividing both sides by 3:
Length = 28 sq. ft. / 3 ft.
Length ≈ 9.33 ft.
Therefore, the third measurement we need to know is approximately 9.33 ft.
We also know that the total area of the rectangular prism is 52 square feet.
To find the third measurement, we need to subtract the area of the two rectangles from the total area:
52 sq. ft. - 24 sq. ft. = 28 sq. ft.
So, we need to find a rectangle with an area of 28 square feet. We can do this by multiplying the length and width of the rectangle:
Length × Width = Area
We know that the two rectangles have a width of 3 ft., so:
Length × 3 ft. = 28 sq. ft.
We can solve for the length by dividing both sides by 3:
Length = 28 sq. ft. / 3 ft.
Length ≈ 9.33 ft.
Therefore, the third measurement we need to know is approximately 9.33 ft.