Question

A vessel is in the shape of a square prism. Length of its base edge is 20
centimeters, and its height is 21 centimeters. It contains water and the water level
is 20 centimeters high. If the above cube is put in the vessel what is the volume of
water overflows?

Answer 1

Height of the prism = 5 cm

Base perimeter = 12 cm

Lateral surface area of the prism = Base perimeter × Height of the prism

= 12 cm × 5 cm

= 60 cm2

Base of the prism is an equilateral triangle with perimeter 12 cm.

⇒ 3 × length of side = 12 cm

⇒ Length of each side = 4 cm

Area of the equilateral triangle =  frac{ \sqrt{3} }{4} ( {side)}^{2}

∴ Surface area of the prism = Lateral surface area of the prism + 2 × Area of the equilateral triangle

= (60 + 2 × 4 \sqrt{3} ) cm2 

= (60 + 8 × 1.73) cm2

= 73.84 cm2

Answer 2

Answer:

400cm^3

Step-by-step explanation:

see answer in the picture