Examples with solutions for Surface Area of a Cuboid: How many times does the shape fit inside of another shape?

Exercise #1

A beekeeper has two box hives as shown below.

Each "cell" takes up 0.5 cm² and the entire hive is lined with them.

Which of the hives will have more more cells? How many will there be in it?

202xxx30AB

Video Solution

Answer

B: 8x2+240x 8x^2+240x cells

Exercise #2

There are two boxes containing a number of balls arranged one on top of the another.

The dimensions of the balls are: 1x1x1.

Assuming that you can see the bottom of the boxes, in which box can you see more balls from the outside?

555777444777222999AB

Video Solution

Answer

Box B

Exercise #3

Renovations began at a municipal swimming pool. As part of the renovations, the pool is being resurfaced with custom-made tiles.

12xx14x \frac{1}{2}x\cdot x\cdot\frac{1}{4}x (in meters).

Dimensions of the pool: depth of 5 mts.

length 20 mts.

width 10 mts.

Express the number of tiles used using x.

Video Solution

Answer

4000x3 \frac{4000}{x^3}