Question

Graham carves a block of wood shaped like a cube with a square pyramid on top. How much paint will Graham need to paint the toy?

Answer 1

Answer:

1.224 litre of paint is used

Answer 2

Answer:

$1080cm^2$

Step-by-step explanation:

For the surface of the toy to be painted, we need to find out it's total surface area.

Given:

• cubical base
• side of cube $=12 cm$
• height of triangular sides of the pyramid $=15cm$

TSA = Area of 4 sides of pyramidal top + CSA of cubical base + Area of base of cube

$TSA = \frac{1}{2} (b)(h)*4 + 4 s^2 + s^2$

$TSA = \frac{1}{2} (12)(15)*4 + 4 (12)^2 + (12)^2$

$TSA = 360+ 144*5$

$TSA = 360 + 720 = 1080cm^2$