To find the total surface area, we need to find the surface area of each rectangular prism separately and then add them together.
Surface area of the cab section:
Two sides with dimensions 4 feet by 4 feet: 2*(4*4) = 32 ft^2
Top and bottom with dimensions 4 feet by 7.5 feet: 2*(4*7.5) = 60 ft^2
Front and back with dimensions 7.5 feet by 4 feet: 2*(7.5*4) = 60 ft^2
Total surface area of the cab section = 32 + 60 + 60 = 152 ft^2
Surface area of the cargo section:
Two sides with dimensions 15 feet by 7.5 feet: 2*(15*7.5) = 225 ft^2
Top and bottom with dimensions 15 feet by 7.5 feet: 2*(15*7.5) = 225 ft^2
Front and back with dimensions 7.5 feet by 15 feet: 2*(7.5*15) = 225 ft^2
Total surface area of the cargo section = 225 + 225 + 225 = 675 ft^2
Total surface area of the truck and its bed = 152 (cab section) + 675 (cargo section) = 827 ft^2
Therefore, the approximate total surface area of the truck and its bed is 827 square feet. Rounding to the nearest tenth, we get 827.0 ft^2.
The closest answer choice is 714.5 ft^2.
Use the image to answer the question.
An illustration shows a 3-dimensional line diagram of a truck that appears as two adjoining rectangular prisms placed on two visible wheels. The rectangular prism on the left, representing the cab section of the truck, has a length of 4 feet and a height of 4 feet. The rectangular prism on the right, representing the cargo section, has a length of 15 feet and a height of 7.5 feet. The back of the truck is marked with a depth of 7.5 feet.
A truck’s cargo bed has the dimensions shown. What is the approximate total surface area of the truck and its bed? Round the answer to the nearest tenth.
(1 point)
Responses
684.5 ft.2
684.5 ft. squared
1,927.5 ft.2
1,927.5 ft. squared
654.5 ft.2
654.5 ft. squared
714.5 ft.2
1 answer
1 answer