Acomposite 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

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