Question

7

Answer 1

Answer:

Volume of a rectangular pyramid:

$V=\dfrac13lwh$

where:

• $V$ = volume
• $l$ = length of base
• $w$ = width of base
• $h$ = height

Given:

• $V$ = 0.1875 ft³
• $w$ = 0.75 ft
• $h$ = 1.5 ft

Substitute given values into the formula and solve for $l$:

$\implies 0.1875=\dfrac13 \cdot l \cdot 0.75 \cdot 1.5$

$\implies 0.1875=\dfrac{1.125}{3} l$

$\implies 0.1875=0.375 l$

$\implies l=\dfrac{0.1875}{0.375}$

$\implies l=0.5$

Therefore, the base length is 0.5 ft