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EmSAT Achieve Exam  >  EmSAT Achieve Tests  >  Test: Surface Area of a Cube and Cuboid - EmSAT Achieve MCQ

Test: Surface Area of a Cube and Cuboid - EmSAT Achieve MCQ


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10 Questions MCQ Test - Test: Surface Area of a Cube and Cuboid

Test: Surface Area of a Cube and Cuboid for EmSAT Achieve 2024 is part of EmSAT Achieve preparation. The Test: Surface Area of a Cube and Cuboid questions and answers have been prepared according to the EmSAT Achieve exam syllabus.The Test: Surface Area of a Cube and Cuboid MCQs are made for EmSAT Achieve 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Surface Area of a Cube and Cuboid below.
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Test: Surface Area of a Cube and Cuboid - Question 1
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Dean has a cardboard box whose length, breadth and height are in the ratio 1:2:3. He makes a new box such that the length, breadth and height got increased by 100%, 200% and 200% respectively. How much less is volume of old box than the new box? ​

Detailed Solution for Test: Surface Area of a Cube and Cuboid - Question 1

Test: Surface Area of a Cube and Cuboid - Question 2
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A cuboid of dimension 24cm * 9cm * 8 cm is melted and smaller cubers are of side 3 cm is formed. find how many such cubes can be formed ?

Detailed Solution for Test: Surface Area of a Cube and Cuboid - Question 2

Volume of cuboid = (24 * 9 * 8) cm = 1728 cu.cm
Volume of small cube = (3 * 3 * 3) cm = 27 cu.cm

So, No. of small cubes formed = 1728/27 = 64.

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Test: Surface Area of a Cube and Cuboid - Question 3
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The difference between the total surface area of a cube of side 4 cm and its lateral surface area is

Detailed Solution for Test: Surface Area of a Cube and Cuboid - Question 3

TSA of cube - LSA of cube

= 6a² - 4a²

= 2a²

= 2 ×4×4

= 32 cm²

Test: Surface Area of a Cube and Cuboid - Question 4
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A cube is 7 cm on an edge and another cube is 14 cm on an edge. The ratios of their curved surface areas are
Detailed Solution for Test: Surface Area of a Cube and Cuboid - Question 4
Curved surface area of 1st cube= 6a^2=6×7×7=294 Curved surface area of 2nd cube =6a^2=6×14×14=1176 Ratio= 294/1176=1:4(Ans).
Test: Surface Area of a Cube and Cuboid - Question 5
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The surface area of a cuboid of dimensions 10 m x 12 m x 8 m is​
Detailed Solution for Test: Surface Area of a Cube and Cuboid - Question 5
L = 10m
b = 12m
h = 8m
Surface area of cubiod= 2(lb + bh + hl)
= 2(10*12 + 12*8 + 8*10)
= 2(120 + 96 + 80)
= 2(296)
= 592m^2....
Test: Surface Area of a Cube and Cuboid - Question 6
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The dimensions of the room are 7 m × 6m × 5 m. The cost of white washing the walls of the room and the ceiling at the rate of Rs 10.50 per m2 is
Detailed Solution for Test: Surface Area of a Cube and Cuboid - Question 6
CSA of room +area of base
so 2(l+b)*h+l*b
2(7+6)*5+7*6
2(13)*5+42.
26*5+42
130+42
172

cost =area * rate
cost =172*10.50
=1806 ANSWER...
Test: Surface Area of a Cube and Cuboid - Question 7
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If the lateral surface area of a cube is 1600 cm2, then its edge is:
Detailed Solution for Test: Surface Area of a Cube and Cuboid - Question 7
Lateral surface area is the surface area of an object excluding it's base and top. A cube has 6 faces, subtracting the base and top is 4. 
1600 / 4 = 400 so each side has an area of 400 cm squared.
 The square root of 400 is 20 so the edge of the cube is 20 cm.
Test: Surface Area of a Cube and Cuboid - Question 8
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The surface area of a cube of edge 1.5 cm is​
Detailed Solution for Test: Surface Area of a Cube and Cuboid - Question 8
Surface area of cube =6a^2
surface area of cube=6×(1.5)^2
surface area of cube=6×2.25
surface area of cube=13.50 answer...
Test: Surface Area of a Cube and Cuboid - Question 9
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The total surface area of a rectangular box of dimensions a, 2a and 3a is​
Test: Surface Area of a Cube and Cuboid - Question 10
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The sum of length, breadth and height of a cuboidal box is 19 cm and the length of its diagonal is 11 cm. find the surface area of the cuboidal box.​
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