Concept/formula
Exact volume = volume of a cuboid +voplume of a square base pyramid
Next, find the volume of cuboid
The volume of cuboid = L x W x H
L = 8 m
W = 8 m
H = 5 m
The volume = 8 x 8 x 5
= 320 meters cube
Volume of square pyramid
[tex]=\text{ }\frac{1}{3}\text{ x base area x height}[/tex][tex]\begin{gathered} \text{Base area of a square = L}^2 \\ L\text{ = 8 m} \\ \text{Base area = 8}^2 \\ \text{ = 64} \\ \text{Height = 6m} \end{gathered}[/tex]
[tex]\begin{gathered} \text{Therefore.} \\ \text{Volume = }\frac{1}{3}\text{ }\times\text{ 64 }\times\text{ 6} \\ =\text{ }\frac{384}{3} \\ =\text{ }128m^3 \end{gathered}[/tex]
Final answer
Exact volume = 320 + 128
= 448 meters cube
