At Westonci.ca, we connect you with experts who provide detailed answers to your most pressing questions. Start exploring now! Get expert answers to your questions quickly and accurately from our dedicated community of professionals. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

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.

Sagot :

volume : 7.5 cm²

  • volume of cube : length * width *  height

[tex]\hookrightarrow \sf Length \ * Width \ * \ Height[/tex]

[tex]\hookrightarrow \sf 2 \ * 1\dfrac{1}{4} \ * \ 3[/tex]

[tex]\hookrightarrow \sf 2 \ * \dfrac{5}{4} \ * \ 3[/tex]

[tex]\hookrightarrow \sf \dfrac{15}{2}[/tex]

[tex]\hookrightarrow \sf 7.5 \ cm^2[/tex]

Answer:

[tex]\sf volume=7 \frac12 \ cm^3[/tex]

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:

[tex]\sf \implies volume=2\times 1 \frac14 \times 3[/tex]

Converting to improper fractions:

[tex]\sf \implies volume=\dfrac21\times \dfrac54 \times \dfrac31[/tex]

                  [tex]\sf =\dfrac{ 2\times 5 \times 3}{1 \times 4 \times 1}[/tex]

                  [tex]\sf =\dfrac{30}{4}[/tex]

Dividing the numerator and denominator by the highest common factor:

[tex]\sf \implies volume=\dfrac{30 \div 2}{4 \div 2}[/tex]

                  [tex]\sf =\dfrac{15}{2}[/tex]

Converting the improper fraction into a mixed number:

[tex]\sf \implies volume=7 \frac12 \ cm^3[/tex]