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Find the height of a right square pyramid that has a rectangular base area of 70 square units and a volume of 140 cubic units.

A. 2 units
B. 6 units
C. 1 units
D. 18 units

Respuesta :

gmany

Answer:

B. 6 units

Step-by-step explanation:

The formula of a volume of a right square pyramid:

[tex]V=\dfrac{1}{3}A_BH[/tex]

[tex]A_B-\text{area of a base}\\H-height[/tex]

We have:

[tex]A_B=70\ u^2\\V=140\ u^3[/tex]

Substitute:

[tex]\dfrac{1}{3}(70)H=140\qquad\text{multiply both sides by 3}\\\\70H=420\qquad\text{divide both sides by 70}\\\\H=6[/tex]

BasketballEinstein

Answer:

B. 6 units

Step-by-step explanation:

[tex]V = {a}^{2} \frac{h}{3} \\ \\ 140 = 70( \frac{h}{3}) \\ \\ 6 = h \\ \\ 140 = 70(2)[/tex]

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