A cuboid of size 50 cm times 40 cm times 30 cm is cut into 8 identical parts by 3 cuts What is the t...........

Quantitative Aptitude (CGL) Mensuration 3D

A cuboid of size 50 cm × 40 cm × 30 cm is cut into 8 identical parts by 3 cuts. What is the total surface area (in cm2) of all the 8 parts?

11750

14100

18800

23500

छोटे Courses बड़े Results

Master Mensuration 3D

Prepare through Micro-courses

Try Now

Explanation:

A Cuboid of dimensions 30 × 50 × 40 is divided into 8 part by cutting 3 times .
It means each dimension { e.g., Length Breadth and height} cut in two equal parts .
I mean after cutting each new Cuboid will be 15 × 25 × 20
Let Length = 25 , Breadth = 20 and height = 15 of each Cuboid .
We know, the formula,
total surface of Cuboid = 2[ L × B + B × H + H × L ]
so, total surface area of each Cuboid = 2[ 25 × 20 + 20 × 15 + 15 × 25 ]
= 2 [ 500 + 300 + 375 ]
= 2 [ 1175 ] = 2350
square unit
hence, Total surface area of each part = 2350 square unit
Total surface area of all the eight parts = 2350 × 8 = 18800 square uni