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3 years ago

The right triangular prism has a volume of 1152 cm 3

Mathematics

2 answers:

Debora [2.8K]3 years ago

8 0

Answer:

The height of right triangular prism is 16 cm.

Step-by-step explanation:

We are given the following information in the question:

Volume of right triangular prism = 1152 cubic cm

Volume of right triangular prism =

$=\text{Area of base}\times \text{Height}\\= \text{Area of triangle}\times \text{Height}\\$

It is given in the diagram the triangular base has a height of 12 cm and base of 12 cm.

Let x be the height of right triangular prism

Putting the values, we get,

$\text{Volume of right triangular prism}=\displaystyle\frac{1}{2}\times b\times h\times x\\\\1152 = \displaystyle\frac{1}{2}\times 12\times 12\times x\\\\x = \frac{1152\times 2}{12\times 12}\\\\x = 16$

Thus, the height of right triangular prism is 16 cm.

aev [14]3 years ago

3 0

D: 16, but if you really want to know how to do this you must figure out that A=MX+B and then using that you can calculate the meaning of life and how ALIENS helped build the twin towers. enjoy :)

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sergejj [24]

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Answer:

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Step-by-step explanation:

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4 years ago

A rectangle has length 72 cm and width 56 cm. The other rectangle has the same area as this one, but its width is 21 cm. What is

katovenus [111]

Answer:

The constant of variation is 4032

Step-by-step explanation:

Given:

Let a rectangle (say A) has length of rectangle(l)= 72 cm and width of rectangle(w) = 56 cm.

Area of rectangle is multiply its length by its width.

Then,

area of rectangle (A) = $l \times w$ = $72 \times 56$ = 4,032 square cm.

It is given that the other rectangle B has the same area as the rectangle A.

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First find the length of rectangle B:

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Area of rectangle B = $l \times w$ = $l \times 21$

From [1];

4032 = $l \times 21$

Divide 21 both sides we get;

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if y varies inversely as x

i.e, $y \propto \frac{1}{x}$

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As area of rectangle is multiply its length by width.

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Ilya [14]

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3 years ago