Question

Helen has 48 cubic inches of clay to make a solid square right pyramid with a base edge measuring 6 inches. What is the slant height of the pyramid if Helen uses all the clay?

Answer 1

$4 \: inch$

Step-by-step explanation:

$Given, \: \: \: side \: = 6 \: inch \: \: and \: \: volume \: = 48 \: {inch}^{3} \\ we \: \: know \: \: \boxed{volume \: \: of \: \: square \: \: pyramid = \frac{1}{3} \times area \: \: of \: \: base \times heigth } \\ Now, \: \: \: \: 48 \: = \frac{1}{3} \times {6}^{2} \times heigth \\ or, \: \: \: 48 = \frac{1}{3} \times 36 \times heigth \\ or, \: \: \: 48 = \times 12 \times heigth \\ or, \: \: \: heigth = \frac{48}{12} = 4 \\ so, \: \: \: heigth \: \: of \: \: pyramid = 4 \: inch$