7. A soapcake measures 7 cm in length, 5 cm in breadth and 2.5 cm in height. How many soapcakes can be placed in a cardboard box whose length, breadth and height are, respectively, 56 cm, 40 cm and 25 cm?
Answers
Answer:
640 nos
Step-by-step explanation:
size of soap
l = 7cm
b =5cm
h =2.5cm
volume occupied by one soap, v = lbh
v=7×5×2.5
=87.5cm^3
size of box,
L = 56cm
B = 40cm
H = 25cm
volume occupied by box,
V = LBH
V = 56×40×25
=56000 cm^3
no. of soap cakes can be placed in the bix,
= V/v
=56000/87.5
=640
Answer:
640 soup cakes .
Step-by-step explanation:
Given that,
Length, breadth and height of soap is 7 cm, 5 cm and 2.5 cm respectively.
Length, breadth and height of cardboard box is 56 cm, 40 cm and 25 cm respectively.
- Soup cake and cardboard box are of cuboid shape.
- We need to place soap cakes in cardboard box. So, For this we need volume of both objects.
We know,
Volume of cuboid = lbh
[Where, l, b h are length, breadth and height]
Volume of soup cakes :
→ Volume of soup cakes = 7 × 5 × 2.5
→ Volume of soup cakes = 87.5
Volume of soup cakes is 87.5 cm³.
Volume of cardboard box :
→ Volume of cardboard box = 56 × 40 × 25
→ Volume of cardboard box = 56000
Volume of cardboard box is 56000 cm³.
Now,
→ Number of soup cakes can be place = Volume of cardboard box/Volume of soup cakes
→ 56000/87.5
→ 640
Thus,
640 soup cakes can be placed in cardboard box.