Question

A composite solid consists of a cube with edges of length 6cm and a square pyramid with base edges of length 6cm and height of 6cm which is the best estimate of the volume of the solid

Answer 1

Answer: The volume of the solid is 324 cm³

Step-by-step explanation:

Formula for determining the volume if a cube is s³

Where s represents the length of each side of the cube.

From the information given, s = 6 cm

Volume = 6³ = 216 cm³

The formula for determining the volume of the square base pyramid is expressed as

Volume = Area × height × 1/3

From the information given,

Length of square base = 6 cm

Height = 6 cm

Area of square base = 6² = 36 cm²

Volume of square base pyramid

= 36 × 6 × 1/3 = 108 cm³

The volume of the solid would be the sum of the volume of the cube and the volume of the square base pyramid. It becomes

216 + 108 = 324 cm³