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

$\hookrightarrow \sf Length \ * Width \ * \ Height$

$\hookrightarrow \sf 2 \ * 1\dfrac{1}{4} \ * \ 3$

$\hookrightarrow \sf 2 \ * \dfrac{5}{4} \ * \ 3$

$\hookrightarrow \sf \dfrac{15}{2}$

$\hookrightarrow \sf 7.5 \ cm^2$

Answer 2

Answer:

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

Step-by-step 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:

$\sf \implies volume=2\times 1 \frac14 \times 3$

Converting to improper fractions:

$\sf \implies volume=\dfrac21\times \dfrac54 \times \dfrac31$

                  $\sf =\dfrac{ 2\times 5 \times 3}{1 \times 4 \times 1}$

                  $\sf =\dfrac{30}{4}$

Dividing the numerator and denominator by the highest common factor:

$\sf \implies volume=\dfrac{30 \div 2}{4 \div 2}$

                  $\sf =\dfrac{15}{2}$

Converting the improper fraction into a mixed number:

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