OK. I think we can do that.
' V= b h ' means " Volume = (area of the base) x (height) "
That can work for both a cylinder and a cube.
(But the cylinder has to be standing up on one end.)
-- Cylinder:
The base that it's standing on is a circular end.
The area of a circle is A = π (radius)² .
Radius = 1/2 of the diameter = 1/2 of 6 cm = 3 cm .
Area of the circular base = π (3 cm)² = 9 π cm²
Height of the cylinder = 4 cm
V = b h = (9 π cm²) (4 cm) = 36 π cm³ = 113.1 cm³ (rounded)
-- Cube:
Every edge of the cube is the same length ... 3.5 inches
Every face of the cube is a square.
Area of a square = (side length)²
Area of the base that the cube is sitting on = (3.5 inches)²
Volume of the cube = b h = (3.5 inches)² (3.5 inches)
= (3.5 inches)³ = 42.875 inches³
