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7
.
Marisela wants to create a trophy in the shape of a rectangular
pyramid with volume 0.1875 cubic foot. Complete the descriptions
by writing in the missing measurements. 7.6.6
Design #1: pyramid height = 1.5 ft; base width = 0.75 ft;

Respuesta :

semsee45

Answer:

Volume of a rectangular pyramid:

[tex]V=\dfrac13lwh[/tex]

where:

  • [tex]V[/tex] = volume
  • [tex]l[/tex] = length of base
  • [tex]w[/tex] = width of base
  • [tex]h[/tex] = height

Given:

  • [tex]V[/tex] = 0.1875 ft³
  • [tex]w[/tex] = 0.75 ft
  • [tex]h[/tex] = 1.5 ft

Substitute given values into the formula and solve for [tex]l[/tex]:

[tex]\implies 0.1875=\dfrac13 \cdot l \cdot 0.75 \cdot 1.5[/tex]

[tex]\implies 0.1875=\dfrac{1.125}{3} l[/tex]

[tex]\implies 0.1875=0.375 l[/tex]

[tex]\implies l=\dfrac{0.1875}{0.375}[/tex]

[tex]\implies l=0.5[/tex]

Therefore, the base length is 0.5 ft

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