Photo AI

The volume of a cube is 125 cm³ - OCR - GCSE Maths - Question 12 - 2019 - Paper 1

Question 12

The volume of a cube is 125 cm³. Calculate the total surface area of the cube. Give the units of your answer.

Worked Solution & Example Answer:The volume of a cube is 125 cm³ - OCR - GCSE Maths - Question 12 - 2019 - Paper 1

Step 1

96%

114 rated

Answer

To find the side length of the cube, we use the formula for the volume of a cube, which is given by:

$V = s^3$

where $V$ is the volume and $s$ is the side length.

Given that the volume $V = 125 \, cm^3$ , we can find $s$ by rearranging the formula:

oot{3}{V} = oot{3}{125} = 5 \, cm.$$

Step 2

99%

104 rated

Answer

The total surface area $A$ of a cube is calculated using the formula:

$A = 6s^2$

Now substituting the side length $s = 5 \, cm$ into the formula:

$A = 6(5 \, cm)^2 = 6(25 \, cm^2) = 150 \, cm^2.$

Therefore, the total surface area of the cube is $150 \, cm^2$ .

Step 3

96%

101 rated

Answer

The units of the surface area are $cm^2$ .

97% of Students

Report Improved Results

98% of Students

Recommend to friends

100,000+

Students Supported

1 Million+

Questions answered

;