Question

You have a cup of lemonade. Each ice cube has a length of 2 cm, a width of 1 1/4 cm and a height of 3 cm. What is the volume of one of the ice cubes? Show your steps and Explain how you used math to come to your decision.

Answer 1

volume : 7.5 cm²

• volume of cube : length * width * height

`\hookrightarrow \sf Length \ * Width \ * \ Height`

`\hookrightarrow \sf 2 \ * 1(1)/(4) \ * \ 3`

`\hookrightarrow \sf 2 \ * (5)/(4) \ * \ 3`

`\hookrightarrow \sf (15)/(2)`

`\hookrightarrow \sf 7.5 \ cm^2`

Answer 2

`\sf volume=7 \frac12 \ cm^3`

Explanation:

Formula

volume of cuboid = length × width × height

Given dimensions of the ice cube:

• length = 2 cm
• width = 1 1/4 cm
• height = 3cm

Substituting the given values into the formula:

`\sf \implies volume=2* 1 \frac14 * 3`

Converting to improper fractions:

`\sf \implies volume=\frac21* \frac54 * \frac31`

`\sf =( 2* 5 * 3)/(1 * 4 * 1)`

`\sf =(30)/(4)`

Dividing the numerator and denominator by the highest common factor:

`\sf \implies volume=(30 / 2)/(4 / 2)`

`\sf =(15)/(2)`

Converting the improper fraction into a mixed number:

`\sf \implies volume=7 \frac12 \ cm^3`