Halla box of 48 cm long, 36 cm wide and 24 cm high is made of
wood 1 cm thick. If the box has no lid, find the volume of
wood used.
Answers
Step-by-step explanation:
The volume of the box=48 cm* 36 cm* 24 cm=41,472 cubic cm
The box is made of wood 1/2 cm thick So—
l=48–1=47, b=36–1=35, h=24–1=23
The internal volume of the box=47 cm* 35 cm* 23 cm=37,835 cubic cm
The volume of the wood used in the box=41,472 cubic cm- 37,835 cubic cm=3,637 cubic cm
Answer: The volume of wood used in the box is 3,637 cubic cm.
Given thickness of wood = 3 cm Length of open box = 1.48 m = 148 cm Breadth of open box = 1.16 m = 116 cm Height of open box = 8.3 dm = 83 cm Inner length, l = outer length – twice width = 148 – 6 = 142 cm Outer breath = 116 – 6 = 110 cm Outer height = 83 – 3 = 80 cm [since it is an open box] Area of inner surface = 2(lb + bh + hl) – lb = 2[142 x 110 + 110 x 80 + 80 x 142] – [142 x 110] = 55940 sq cm Cost of painting inner surface = Rs (50/100) x (55940/100) = Rs 279.90..