3. Perimeter of a square is 128cm. Find its area.
4. A square with side 60cm and a rectangle with breadth 40cm are equal in area. Find
the length of the rectangle.
5. The volume of a big box completely packed with 10 cubical boxes, each measuring
15cm x 10cm x 20 cm.
6. A path 105m long and 3 m wide is to be paved with tiles of dimensions 25cm by
15cm. How many tiles are needed to pave the path completely with tiles?
7. An ice cream brick measuring 15cm x 10cm x 5cm is cut into cubical pieces measuring
5cm x 5cm x 5cm. How many maximum pieces will be cut from the brick? answer all who will answer all the questions right I will mark as brainlest and thanks and rate excellent
Answers
Question 3
- Perimeter of a square is 128 cm. Find its area.
Answer:
Given that,
- Perimeter of square = 128 cm
We know that,
Perimeter of square = 4 × side
Therefore,
➻ 4 × side = 128
➻ side = 128/4
➻ side = 32 cm
Now, Finding area of square,
Area of square = side × side
➻ 32 × 32
➻ 1024 cm²
∴ Hence, Area of square is 1024 cm².
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Question 4
- A square with side 60 cm and a rectangle with breadth 40 cm are equal in area. Find the length of the rectangle.
Answer:
Given,
- Side of square = 60 cm
- Breadth of rectangle = 40 cm
According to the Question:
Area of square = Area of Rectangle
➻ side × side = length × breadth
Putting values,
➻ 60 × 60 = length × 40
➻ length = 60 × 60/40
➻ length = 90 cm
∴ Hence, Length of Rectangle is 90 cm.
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Question 5
- The volume of a big box completely packed with 10 cuboidal boxes, each measuring 15cm x 10cm x 20 cm.
Answer:
Given,
- No. of boxes = 10
- Dimensions of each box = 15 cm × 10 cm × 20 cm
According to the Question:
➻ Volume of big box = 10 × volume of small boxes
➻ Volume of big box = 10 × (15 × 10 × 20)
➻ Volume of big box = 10 × 3000
➻ Volume of big box = 30000 cm³
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Question 6
- A path 105 m long and 3 m wide is to be paved with tiles of dimensions 25cm by 15cm. How many tiles are needed to pave the path completely with tiles?
Answer:
Given,
- Length of path = 105 m = 10500 cm
- Breadth of path = 3 m = 300 cm
- Dimensions of tiles = 25 cm × 15 cm
According to the Question:
➻ No. of tiles = Area of path/Area of 1 tile
➻ No. of tiles = (10500 × 300)/(25 × 15)
➻ No. of tiles = 3150000/375
➻ No. of tiles = 8400
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Question 7
- An ice cream brick measuring 15cm x 10cm x 5cm is cut into cubical pieces measuring 5cm x 5cm x 5cm. How many maximum pieces will be cut from the brick?
Answer:
According to the Question:
An ice cream brick is cut into cubical pieces.
Therefore,
➻ No. of cubical pieces = Volume of ice cream brick/Volume of each piece
➻ No. of cubical pieces = (15 × 10 × 5)/(5 × 5 × 5)
➻ No. of cubical pieces = 750/125
➻ No. of cubical pieces = 6 piece
∴ Hence, 6 cubical pieces are cut from ice cream brick.