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Vinil7 [7]
3 years ago
11

Find the surface area of the figure below. Round your answer to the nearest hundredth if necessary.

Mathematics
1 answer:
Tatiana [17]3 years ago
8 0

Answer:

The surface area of the shape is 292 in^2

Step-by-step explanation:

Here, we want to find the surface area of the cuboidal shape

Mathematically, the area of a cuboid can be calculated using the formula;

A = 2(lb + lh + bh)

where l is the length which is 7 inches

b is the breadth which is 6 cm

h is the height which is 8 cm

Substituting these values, we have

A = 2((8 * 6) + (7 * 6) + (8 * 7))

A = 2(56 + 42 + 48)

A = 2 * 146

A = 292 in^2

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The length = 6W + 7. 2L + 2W = 70. This is a system of equations. To get L by itself in the second problem, -2W from both sides to get 2L = 70 - 2W. Divide by 2 to get L = 35 - W. Now put them together. 6W +7 = 35 - W. Add W to both sides to get 7W + 7 = 35. Subtract 7 from both sides to get 7W = 28. Divide 7 to both sides to get W = 4. Now replace W with 4. 6(4) + 7 = L. 24 + 7 = 31. The length is 31. To check, do the second equation. 2(31) + 2(4) = 62 + 8 = 70. Your answer is 31.

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