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ipn [44]
3 years ago
15

A stainless steel patio heater is a square pyramid. The length of one side of the base is 19.8 The slant height of the pyramid i

s 89.9 What is the height of the​ pyramid?
Mathematics
1 answer:
Viefleur [7K]3 years ago
7 0

the slant height would be the hypotenuse of a right triangle. 1/2 the length of the base would be one side of a right triangle. Use the Pythagorean theorem to find the height:


89.9^2 = 9.9^2 + x ^2

8082.01 = 98.01 + x^2

X^2 = 8082.01-98.01

X^2 = 7984

X = sqrt(7984)

X = 89.35

Round to 89.4

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A right rectangular prism's edge lengths are 4 1 2 inches, 4 inches, and 3 inches. How many unit cubes with edge lengths of 1 3
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Question:

A right rectangular prism's edge lengths are  4\frac{1}{2} inches, 4 inches, and 3 inches. How many unit cubes with edge lengths of \frac{1}{3} inch can fit inside the prism?

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Step-by-step explanation:

Given:

Dimensions of the rectangular prism = 4\frac{1}{2} inches, 4 inches, and 3 inches

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Solution:

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Volume of the right Rectangular prism is = 4\frac{1}{2}\times4\times 3

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Substituting the  values,

Volume of the cube = ( \frac{1}{3})^3

Volume of the cube = ( \frac{1}{27})

Step 3: Find the number of cube that can fit in the cube.

Number of  cubes = \frac{\text{volume of the right Rectangular prism}}{\text{Volume of the cube}}

Number of  cubes = \frac{54}{\frac{1}{27}}

Number of  cubes = 54\times27

Number of  cubes  =  1458 cubes

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