Use the formula for the surface area of a right rectangular prism to find the surface area of a shape with the following measurements: length = 4.5 cm, width = 3.5 cm, and height = 2.5 cm.(1 point)
Responses
35.75 cm2
35.75 cm squared
71.5 cm2
71.5 cm squared
63 cm2
63 cm squared
10.5 cm2
The formula for the surface area of a right rectangular prism is 2lw + 2lh + 2wh.
Using the given measurements:
Length = 4.5 cm
Width = 3.5 cm
Height = 2.5 cm
Substituting these values into the formula:
2(4.5 cm)(3.5 cm) + 2(4.5 cm)(2.5 cm) + 2(3.5 cm)(2.5 cm)
= 31.5 cm2 + 22.5 cm2 + 17.5 cm2
= 71.5 cm2
Therefore, the surface area of the shape is 71.5 cm2.
Use the formula to determine the surface area of a right rectangular prism where each edge length measures 12.75 cm.(1 point)
Responses
5,852.25 cm2
5,852.25 cm squared
76.5 cm2
76.5 cm squared
459 cm2
459 cm squared
975.38 cm2
The formula for the surface area of a right rectangular prism is 2lw + 2lh + 2wh.
Since all edge lengths of the prism measure 12.75 cm, we can substitute this value into the formula:
2(12.75 cm)(12.75 cm) + 2(12.75 cm)(12.75 cm) + 2(12.75 cm)(12.75 cm)
= 326.25 cm2 + 326.25 cm2 + 326.25 cm2
= 978.75 cm2
Therefore, the surface area of the shape is 978.75 cm2.