. A cuboidal carton measures 15cm by 25cm by 40cm. How many cubes of side 5cm can be
placed inside it?
Answers
Answer:
Step-by-step explanation:
Volume of cuboid =lbh
So, volume of the carton =15*25*40
Volume of cube = x^3=5^3
No of cubes =volume of cuboid / volume of cube
No of cubes= 15*25*40/5*5*5
= 5*3*5*5*40/5*5*5 (expanding 15 and 25 )
=3*40( cancellation)
= 120 cubes can be placed inside
Given,
Length of the cuboidal carton = 15 cm
Breadth of the cuboidal carton = 25 cm
Height of the cuboidal carton = 40 cm
Side of the cube = 5 cm
To find,
We have to find the number of cubes that can be placed inside the cuboidal carton.
Solution,
120 cubes of side 5cm can be placed inside a cuboidal carton that measures 15cm by 25cm by 40cm.
We can simply find the number of cubes that can be placed inside the carton by finding the volumes and then dividing them.
Volume of the cuboidal carton = length * breadth * height
= 15 * 25 * 40
Volume of the cube = side * side * side
= 5 * 5 * 5
Number of cubes placed inside the carton = Volume of carton/Volume of 1 cube
Number of cubes placed inside the carton= 15* 25 * 40/5 * 5 * 5
Number of cubes placed inside the carton = 120
Hence, 120 cubes of side 5cm can be placed inside a cuboidal carton that measures 15cm by 25cm by 40cm.