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2 years ago

What is the total surface area of the figure shown?

Mathematics

1 answer:

4vir4ik [10]2 years ago

4 0

Given:

Composite figure.

The figure splitted into two shapes.

One is vertical cuboid and other is horizontal cuboid

To find:

Total surface area of the figure

Solution:

Vertical cuboid:

Length = 14 inches

Width = 12 inches

Height = 24 inches

Surface area = 2(lw + wh + lh)

= 2(14 × 12 + 12 × 24 + 14 × 24)

= 2(168 + 288 + 336)

Surface area = 1584 square inches

Horizontal cuboid:

Length = 14 inches

Width = 10 inches

Height = 30 - 12 = 18 inches

Surface area = 2(lw + wh + lh)

= 2(14 × 10 + 10 × 18 + 14 × 18)

= 2(140 + 180 + 252)

Surface area = 1144 square inches

Total surface area = 1584 + 1144

= 2728 square inches

The total surface area of the figure is 2728 square inches.

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2 years ago

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almond37 [142]

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2 years ago

Read 2 more answers

Given the two triangles shown, find the value of x

Volgvan

Answer: x = 150/6 = 25

Step-by-step explanation:

Here is the information shown in the diagram: in triangle ABC, Angle A = 68, Angle C = 38, AB = 6, and BC = 10. In triangle DEF, Angle D = 38, Angle E = 74, EF = 15, and DE = x.)

The value of x is (Choose...4, 11, 12, 19, 20, 25).

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2 years ago