Question

Suppose 1 gold bar is 6 cm long, 2 cm high, and 3 cm wide. How many whole gold bars will you be able to fit in a vault with a volume of 500 cm3?

Answer 1

Answer : The number of gold bar able to fit in a vault with a volume of
`500cm^3` will be 14.

Explanation :

First we have to calculate the volume of 1 gold bar.

Given :

Length of gold bar = 6 cm

Width of gold bar = 3 cm

Height of gold bar = 2 cm

Formula used :

Volume = Length × Width × Height

Volume = 6cm × 3cm × 2cm

Volume =
`36cm^3`

Thus, the volume of 1 gold bar is
`36cm^3`

Now we have to calculate the number of gold bar will be able to fit in a vault with a volume of
`500cm^3`

`\text{Number of gold bar fit}=(500cm^3)/(36cm^3)=13.8\approx 14`

Therefore, the number of gold bar able to fit in a vault with a volume of
`500cm^3` will be 14.

Answer 2

we are given the dimensions of a gold bar and is asked how many of these gold bars are able to fit into a 500 cm3 volume. we first calculate the volume of a gold bar that is 6 cm x 2 cm x 3 cm equal to 36 cm3. We divide 500 cm3 by 36 cm3 per gold bar equal to approx. 13 bars