Question

A cartoon is 60 cm long and 30 cm high. The volume of cartoon

is 36,000 cm³ then
a) Write the formula to find volume of a solid.
b) Find the breadth of the cartoon.
[1]
c) Find the total surface area of the cartoon.
[2]
d) How many boxes each of volume 80cm³ can be put inside the
cartoon?
[2]

Answer 1

The volume, breadth, surface area, and number of boxes that can fit inside a rectangular prism cartoon are explained.

Step-by-step explanation:

a) Formula to find volume of a solid:

The formula to find the volume of a solid depends on the shape of the solid. For a rectangular prism like the cartoon in this question, the volume can be found using the formula:

Volume = Length x Width x Height

b) Finding the breadth of the cartoon:

To find the breadth of the cartoon, we can rearrange the formula to:

Width = Volume / (Length x Height)

c) Total surface area of the cartoon:

The total surface area of a rectangular prism can be found by adding up the areas of all six faces. For the cartoon, the total surface area can be found using the formula:

Surface Area = 2 x (Length x Width) + 2 x (Length x Height) + 2 x (Width x Height)

d) Number of boxes that can fit inside the cartoon:

To find the number of boxes that can fit inside the cartoon, we can divide the volume of the cartoon by the volume of each box. The formula is:

Number of Boxes = Volume of Cartoon / Volume of Each Box

Learn more about Volumes and surface areas of solid objects such as rectangular prisms