Question

Select the correct figures.
Select the two rectangular prisms that could be joined to create a solid figure with a volume between 42 and 47 cubic units.
Reset
Next

Answer 1

Answer:

3rd one and last one

Step-by-step explanation:

First one:

4 × 3 × 4 = 48

Second one:

1 × 2 × 4 = 8

Third one:

2 × 3 × 5 = 30

Fourth one:

2 × 5 × 4 = 40

Fifth one:

2 × 2 × 4 = 16

Process of elimination:

The first one is itself greater than 47 units³, so this is definitely not one of the two;

A combination of the fourth prism and the smallest one as the second will give a volume of 48 units³, which is greater than 47 so this prism is also not one of the two we are looking for;

This leaves the second, third and fifth;

The second and third sum to 38, which is less than 42 so it is not the correct combination;

Similarly, the second and last gives only 24 so it is not the correct combination;

This leaves the only remaining option of the third and fifth;

30 + 16 = 46, which confirms this to be the correct combination.