Is a decorative block , made up of two solids -a cube and a hemisphere. The base of the block is a cube of side 6cm and the hemisphere fixed on the top has a diameter of 4cm. Find the total surface area of the block(use ⫪ = 3.14) *

The surface area of the decorative block is 253.68 cm²

Step-by-step explanation:

The decorative block is a composite figure comprising of the following parts;

1) A solid cube with side length, S = 6 cm

2) A hemisphere with diameter, D =  4 cm

The surface area of the decorative block = The surface area of the solid cube + The surface area of the hemisphere

The surface area of the components of the decorative block are as follows;

The surface area of the solid cube = 6 × S² = 6 × (6 cm)² = 216 cm²

The surface area of the hemisphere = π·D²/4 + π·D²/2

∴ The surface area of the hemisphere = 3.14 × (4 cm)²/4 + 3.14 × (4 cm)²/2 = 37.68 cm²

∴ The surface area of the decorative block = 216 cm² + 37.68 cm² = 253.68 cm².

what are you trying find out?

step-by-step explanation:

hint: which coefficient is a multiple of 360°?

step-by-step explanation: