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svetoff [14.1K]
3 years ago
15

The rectangular prism is increased by a factor of three. By what factor does the volume increase?

Mathematics
1 answer:
KiRa [710]3 years ago
5 0

Answer:

27

Step-by-step explanation:

Suppose that the dimensions of the rectangular prism are L, W and H.

Then the volume is V = L*W*H.

If you mean to increase EACH dimension by a factor of 3, then we' have

V = (3L)*(3W)*(3H), or V = 27 L*W*H.

The volume of the modified prism would be 27 times larger than that of the original prism.

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Answer:

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Step-by-step explanation:

Opposite sides of an isoceles triangle are equal

The isoceles triangle is divided into 2 right-angled triangles so the length of one side can be calculated using trigonometric ratio

When the isoceles triangle is divided, the angle in the right-angled triangle is 20° (1/2 of 40°) and the base is 9cm (1/2 of 18 cm), the hypotenuse side is calculated using trigonometric ratio

Let the length of the hypotenuse side be y

9/y = sin 20°

y = 9/0.3420 = 26.3

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