Respuesta :

Answer:

9 in.

Step-by-step explanation:

Answer:

The width of base of rectangular pyramid is 27 inches.

Solution:

Given that

Volume of rectangular pyramid = 1.296 inches

Height of rectangular pyramid = 24 inches

Length of rectangular pyramid = 6 inches

We need to calculate width of the base

[tex]\begin{aligned} \text { Volume of rectangular pyramid } &=\frac{(\text { length } \times \text { height } \times \text { width })}{3} \end{aligned}[/tex]

Let assume width = "x" inches

Now substitute given values and assumed value in formula of volume

[tex]1296=\frac{6 \times 24 \times x}{3}[/tex]

On simplifying the above term,

[tex]x=\frac{1296 \times 3}{6 \times 24}=27[/tex]

Hence width of base of rectangular pyramid is 27 inches.