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Lelechka [254]
2 years ago
9

13.3 mm 16 mm 20.5 mm please find the volume of this triangular prism 20.5 and 16 are the base while 13.3 is the height.​

Mathematics
1 answer:
Sonbull [250]2 years ago
7 0

Answer:

2.2 × 10³ mm³

Step-by-step explanation:

We have a triangular prism with the following dimensions:

Altitude: 20.5 millimeters

Base: 16 millimeters

Height: 13.3 millimeters

We can calculate the volume of a triangular prism using the following expression.

V = (1/2 × Altitude × Base) × Height

where,

(1/2 × Altitude × Base) is the area of the base

V = (1/2 × Altitude × Base) × Height

V = (1/2 × 20.5 mm × 16 mm) × 13.3 mm = 2.2 × 10³ mm³

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Answer:

Width = 12 feet

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Step-by-step explanation:

The area of a rectangle is A = l*w. Here the length is 8 feet more than the width or 8 + w and the width is w. So the area is A = w(8+w) = 8w + w²

If the dimensions are changed then the expressions will change. The width is increased by 4 feet. This means the width w becomes w + 4. The length is decreased by 5 feet. This means the length becomes 8 + w - 5 = 3 + w. So the area of the new triangle is A = (w+4)(3+w) = w² + 7w + 12.

Since the areas are the same, set them equal to each other and solve for w.

w² + 7w + 12 = 8w + w²                Subtract w² from both sides.

7w + 12 = 8w                                 Subtract 7w from both sides.

12 = w

The original width w is 12 feet. This means the original length which was 8 + w = 8 + 12 = 20 feet.

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