1. Calculate the surface area of a rectangular prism with dimensions 5 cm x 3 cm x 2 cm.
To calculate the surface area of a rectangular prism, we use the formula:
Surface Area = 2lw + 2lh + 2wh
where l, w, and h are the length, width, and height of the prism respectively.
In this case, the dimensions are:
l = 5 cm
w = 3 cm
h = 2 cm
Plugging in the values to the formula:
Surface Area = 2(5)(3) + 2(5)(2) + 2(3)(2)
Surface Area = 30 + 20 + 12
Surface Area = 62 cm²
Therefore, the surface area of the rectangular prism is 62 cm².
2. Find the surface area of a cone with a radius of 4 cm and a slant height of 6 cm.
To find the surface area of a cone, we use the formula:
Surface Area = πr² + πr(l)
where r is the radius of the cone and l is the slant height.
In this case, the radius is 4 cm and the slant height is 6 cm.
Plugging in the values to the formula:
Surface Area = π(4)² + π(4)(6)
Surface Area = 16π + 24π
Surface Area = 40π cm²
Therefore, the surface area of the cone is 40π cm².
Surface Area Apply Sample Work Answers
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