Question

winter break Mayukh was told by his social science teacher to make a model of

Pakkahouse. He decided to make model of his house for his holiday homework. He did

so by using glue, glass sheets and scissors. He puts coloured tape around each edge.

Measurement of each edge shown in the figure is in inches.

a. How much coloured tape will be required to put around all edges?

b. What is the area of the bottom face?

c. How many triangles are there in this pakka house?

d. What will be the length of coloured tape required for the pakka house, if we

decrease the height of bottom cuboid from 16 inches to 10 inches?

e. Complete the following with respect to the given model of pakka house:

(i) Faces= ______ (ii) Edges=______ (iii) Vertices=_____​

Answer 1

Answer:

Hope it helps

Here is the solution

Answer 2

Solution :-

→ Coloured tape will be required to put around all edges = 4 * edges of upper prism + 4 * edge of height of cuboid + 4 * length of cuboid + 4 * width of cuboid = 4 * 10 + 4 * 16+ 4 * 8 + 4* 8 = 4(10 + 16 + 8 + 8) = 4 * 42 = 168 inches . (Ans. a)

now,

→ The area of the bottom face = Area of square = (side)² = (8)² = 64 inches² . (Ans. b)

and,

→ Total number of triangles are there in this pakka house are = 4 (Ans. c)

also,

→ The length of coloured tape required for the pakka house, if we decrease the height of bottom cuboid from 16 inches to 10 inches = 4(10 + 10 + 8 + 8) = 4 * 36 = 144 inches . (Ans . d)

Now,

• Faces of pakka house = 9 .
• Edges of pakka house = 16 .
• Vertices of pakka house = 9 .

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