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How Big? How Heavy? Test 1

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How Big? How Heavy? Test 1
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  • Question 1
    1 / -0
    If one square is 11 unit cube, then the volume of the given object is:

    Solution
    Let the smallest cube i.e one square is of 11 unit cube.
    The total number of unit cubes in the figure =5×2×2+2=22=5\times 2\times2 +2=22
    Thus, the volume of the given object is 2222 unit cubes.
  • Question 2
    1 / -0
    If weight of 11 mango is 250250 gms, then calculate the weight of 1616 mangoes. (Write your answer in kilograms)
    Solution
    Weight of 11 mango =250=250   gram\text{gram}

    Weight of 1616 mangoes =250×16 gram=4000=250 \times 16\ \text{gram} = 4000  gram\text{gram}

    We know that

    11  kg=1000\text{kg} =1000  gram\text{gram}

    11  gram=11000\text{gram} =\dfrac1{1000}  kg\text{kg}

    We have to convert 40004000  gram\text{gram} to kg\text{kg}:

    40004000  gm=11000×4000\text{gm} =\dfrac{1}{1000} \times 4000 kg\text{kg}

                        =40001000 =\dfrac{4000}{1000}   kg\text{kg}

                       =4=4  kg\text{kg}

    So, option DD is correct.

  • Question 3
    1 / -0
    Weight of \triangle and \square together is 2828 and weight of =13\square =13. Then the weight of \triangle is ?
    Solution
    Total weight of  Δ\Delta and  \square is 2828

    or   Δ+ \Delta +  \square    =28=28  ........................(1)

    Given : weight of   \square   is 1313 or  \square    =13=13

    Now  from equation (1)

    Δ+ 13\Delta +  13     =28=28 

    Δ\Rightarrow \Delta =2813=28-13 

    Δ\Rightarrow \Delta =15=15 

    So, weight of Δ\Delta is 1515

    Hence, option A is correct.
  • Question 4
    1 / -0
    A cubical block of metal weighs 66 pounds. How much will another cube of the same metal weigh if its sides are twice as long?
    Solution

  • Question 5
    1 / -0
    If 15.515.5 litres of refined oil costs Rs. 1063.301063.30, what is the cost of 11 litre of refined oil?
    Solution
    Given that 15.515.5 litres refined oil costs \rightarrow 1063.301063.30 Rs  
    Cost of 11 litre refined oil will be 1063.3015.5=\dfrac {1063.30}{15.5}= 68.6068.60
    Thus 11 litre refined oil costs Rs. 68.6068.60.
    Hence, option A is correct.
  • Question 6
    1 / -0
    How many cubes are in this rectangular prism (cuboid)? And hence, calculate the volume of the cuboid.
    (Volume of 11 cube =1=1 cubic units)

    Solution
    Number of cubes=48=48
    Volume of cuboid=48×=48\times volume of each cube=48×1=48=48\times 1=48 cubic units.
  • Question 7
    1 / -0
    Calculate the volume of an object given in the figure, where each small cubes has a volume 11 cubic units.

    Solution
    In given figure, the first two layers from the ground have 16(4×4)16(4\times 4) cube. The remaining two layers have 1010 cubes each.
    Total number of cubes
    =2×10+2×16=40+12=52=2\times 10+2\times 16=40+12=52 cubes

    Since, the volume of 11 small cube =1 cubic units=1\ cubic\ units

    Hence, the required volume
    =52×1=52 cubic units=52\times 1=52\ cubic\ units
  • Question 8
    1 / -0
    Which of the following object has greater volume?

  • Question 9
    1 / -0
    A rectangular tank whose length and breadth are 2.5m2.5m and 1.5m1.5m respectively is half full of water. If 450450 litre more water is poured into the tank, what is the height through which water level further goes up?
    Solution

  • Question 10
    1 / -0
    How many small cubes are there in each cuboid respectively?

    Solution
    The total number of small cubes in figure 1 is 2×2×3=122\times 2\times 3=12
    The total number of small cubes in figure 2 is 2×5=102\times 5=10
    Hence, the answer is 12,1012,10.
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