FIND THE VOLUME AND SURFACE AREA. MEASUREMENT IN cm. π = 22/7

Mathematics

1 answer:

Digiron [165]2 years ago

7 0

The volume of the right triangular prism is 153.30 cubic units if the base length of the prism is 8 units.

<h3>What is a triangular prism?</h3>

When a triangle is, stretch it out to produce a stack of triangles, one on top of the other. A triangular prism is a name given to this novel 3D object.

It is given that:

A right triangular prism with dimensions

As we know, the volume of the right triangular prism is given by:

Volume = (1/2)bhl

Here b and l are the base dimensions h is the height of the prism

From the trigonometric ratios:

h = 10sin(25) = 4.23 units

b = 10cos(25) = 9.06 units

l = 8 units

Volume = (1/2)(9.06)(4.23)(8)

Volume = 153.30 cubic units

Thus, the volume of the right triangular prism is 153.30 cubic units if the base length of the prism is 8 units.

Learn more about triangular prisms here:

brainly.com/question/16909441

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Answer:

The option "StartFraction 1 Over 3 Superscript 8" is correct

That is $\frac{1}{3^8}$ is correct answer

Therefore $[(2^{-2})(3^4)]^{-3}\times [(2^{-3})(3^2)]^2=\frac{1}{3^8}$

Step-by-step explanation:

Given expression is ((2 Superscript negative 2 Baseline) (3 Superscript 4 Baseline)) Superscript negative 3 Baseline times ((2 Superscript negative 3 Baseline) (3 squared)) squared

The given expression can be written as

$[(2^{-2})(3^4)]^{-3}\times [(2^{-3})(3^2)]^2$