Find the surface area of a rectangular prism with a length of 10 cm, a width of 4 1/2 cm, and a height 8 3/4 cm. Round your answer to the nearest hundredth.
(10)(4.5)(8.75) = 393.75
now that you have the volume, let's answer the question :-)
2(10*4.5 + 10*8.75 + 4.5*8.75) = 343.75
To find the surface area of a rectangular prism, you need to calculate the area of each of its six faces and then sum them up.
The formula to find the surface area of a rectangular prism is:
Surface Area = 2lw + 2lh + 2wh
Given the dimensions of the rectangular prism:
Length (l) = 10 cm
Width (w) = 4 1/2 cm
Height (h) = 8 3/4 cm
We need to convert the width and height into decimal form before using them in the formula.
To convert the width from fractional form to decimal form:
4 1/2 cm = 4 + 1/2 cm = 4.5 cm
To convert the height from fractional form to decimal form:
8 3/4 cm = 8 + 3/4 cm = 8.75 cm
Now, we can substitute the values into the surface area formula:
Surface Area = 2lw + 2lh + 2wh
Surface Area = 2(10 cm)(4.5 cm) + 2(10 cm)(8.75 cm) + 2(4.5 cm)(8.75 cm)
Simplifying the calculation:
Surface Area = 2(45 cm^2) + 2(87.5 cm^2) + 2(39.375 cm^2)
Surface Area = 90 cm^2 + 175 cm^2 + 78.75 cm^2
Surface Area = 343.75 cm^2
Rounding the answer to the nearest hundredth:
Surface Area ≈ 343.75 cm^2
Therefore, the surface area of the rectangular prism is approximately 343.75 square centimeters.