contestada

A child's tent can be modeled as a pyramid with a square base whose sides measure 60 inches and whose height measures 84 inches. What is the volume of the tent, to the nearest cubic foot?

Respuesta :

calculista

Answer:

The volume of the tent is [tex]100,800\ in^{3}[/tex]

Step-by-step explanation:

we know that

The volume of the square pyramid (child's tent) is equal to

[tex]V=\frac{1}{3}b^{2}h[/tex]

we have

[tex]b=60\ in[/tex]

[tex]h=84\ in[/tex]

substitute

[tex]V=\frac{1}{3}(60^{2})(84)=100,800\ in^{3}[/tex]

JeanaShupp

Answer: 58 cubic feet

Step-by-step explanation:

Given: The sides of the square base of the pyramid (s)= 60 inches

In foot , the sides of the square base of the pyramid (s)=[tex]\dfrac{60}{12}=5\ ft[/tex]

The height of the pyramid = 84 inches

In feet, height of the pyramid = [tex]\dfrac{84}{12}=7\ ft[/tex]

We know that the volume of a square pyramid is given by ;-

[tex]\text{Volume}=\dfrac{1}{3}s^2h\\\\\Rightarrow\text{Volume}=\dfrac{1}{3}(5)^2(7)\\\\\Rightarrow\text{Volume}=58.3333333\approx58\ ft^3[/tex]

Hence, the volume of the tent =58 cubic feet

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