Question

What are the surface area and volume of the
solid given in the figure, if each small cube in
it has an edge of 1.5 cm?​

Answer 1

Answer:

324 cm is the answer mark as brilliantly

Answer 2

Volume of the given solid = 60.75 cm³

Surface area of the given solid = 108 cm²

Step-by-step explanation:

Given:  Each small cube has an edge of 1.5 cm.

To find: surface area and volume of the given solid.

Solution:

Number of small cubes in the figure = 18

Volume of cube = a³ = 1.5 * 1.5 * 1.5 = 3.375 cm³

Volume of the given solid = 18 * 3.375 = 60.75 cm³

Surface area of a small cube = 6a² (when 6 sides are exposed)

Total number of squares on the outer side = 9 + 9 +9 +9 +6 +6 = 48

Surface area of the given solid = 48 * a² = 48 * 1.5 * 1.5 = 108 cm²