Perimeter, area and volume for class 5

Class 5 Math Worksheet: Perimeter, Area, and Volume

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Section A: Perimeter

1. Find the perimeter of the following shapes:
   a. A square with side length $cm$.
   b. A rectangle with length $8\text{cm }$and breadth $4\text{cm}$.
   c. A triangle with sides $,$and $5\text{cm}$.

2. Fill in the blanks:
   a. The formula for the perimeter of a rectangle is _________.
   b. A regular pentagon has a side length of $cm$. Its perimeter is _________.

3. Word Problem:
   A garden is in the shape of a rectangle with length $20\text{m}$ and breadth $15\text{m}$. Find the total length of fencing required to enclose the garden.

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Section B: Area

1. Find the area of the following:
   a. A square with side length $6\text{cm}$.
   b. A rectangle with length $,$and breadth $5\text{cm}$.
   c. A triangle with base $,$and height $8\text{cm}$.

2. Match the shapes with their areas:
   a. Square with side $4\text{cm}$.                             i. $\mathrm{16\; sq}{\text{cm}}^{}$
   b. Rectangle with l= $7\text{cm }$and b= $3$  ii. $\mathrm{21\; sq}{\text{cm}}^{}$
   c. Triangle with b= $5\text{cm}$ and h=$6\text{cm}$        iii. $15\text{\hspace{0.17em}sq }{\text{cm}}^{}$
   

3. Word Problem:
   A rectangular playground has an area of $150\text{\hspace{0.17em}sq m}$.If the length is $15\text{m}$, what is its breadth?

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Section C: Volume

1. Fill in the blanks:
   a. The formula for the volume of a cuboid is _________.
   b. The volume of a cube with side length $4\text{cm}$ is _________.

2. Calculate the volume of the following:
   a. A cube with side length $5\text{cm}$.
   b. A cuboid with length $10\text{cm}$, breadth $6\text{cm}$, and height $4\text{cm}$.
   c. A box with dimensions $8\text{cm}\times 5\text{cm}\times 2\text{cm}$.

3. Word Problem:
   A water tank is in the shape of a cuboid with dimensions $2\text{m}\times 1.5\text{m}\times 1\text{m}$. How much water can it hold? (Give the answer in cu m).

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Bonus Questions

1. A rectangular room has a length of $12\text{m }$and breadth of $10\text{m}$. Its walls are $4\text{m}$ high. Find the total area of the walls that need to be painted.
2. A cube has a side length of $7\text{cm}$. Find its surface area and volume.

            

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