In a block building game, Belén has 56 cubes of 1 unit in side length. Using all of them, she built a rectangular prism with a base perimeter of 22 unit lengths. What is the height of the prism?
Answers choices: 8,7,6,4,3,2,1
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Given:–In a block building game, Belén has 56 cubes of 1 unit in side length. Using all of them, she built a rectangular prism with a base perimeter of 22 unit lengths. What is the height of the prism ?
Answers choices: 8,7,6,4,3,2,1
Answer:–
we know that,
Volume of prism = Base Area * height .
Base Area = L * B
Base perimeter = 2(L + B)
Volume of cube = (a)³
Let , height of prism is H unit .
so,
→ Volume of prism = Volume of cubes of 1 unit side length
→ (L * B) * H = 56 * (1)³
→ (L * B) * H = 56
now, given that,
→ 2(L + B) = 22
→ (L + B) = 11
taking, possible values of L and B, and if we assume that , all L , B and H are positive integers , then,
1, 10 => H = 5.6 ≠ not a integer .
2, 9 => H = 56/18 ≠ not a integer .
4, 7 => H => 56/28 = 2 = a integer .
therefore, we can conclude that, values of L and B are 7 and 4 .
hence,
→ 7 * 4 * H = 56
→ H = 2 unit (Ans.)
[ Note :- In question it should be mentioned that H must a integer . otherwise we have to check options. ]
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यदि किसी ठोस घन की प्रत्येक भुजा में 150% की वृद्धि
की जाए, तो इसके पृष्ठीय क्षेत्रफल में हुई प्रतिशत वृद्धि
Given : In a block building game, Belén has 56 cubes of 1 unit in side length. Using all of them, she built a rectangular prism with a base perimeter of 22 unit lengths.
To Find : height of the prism
8,7,6,4,3,2,1
Solution:
a base perimeter of 22 unit lengths.
Which can be
Base perimeter = 2 ( l + b)
2 (1 + 10)
2 ( 2 + 9)
2 ( 3 + 8)
2 ( 4 + 7)
2 ( 5 + 6)
now l * b * h = 56
only possible when
4 * 7 * 2 = 56
Hence base area 4 * 7
and height is 2
height of the prism is 2 unit
Learn More
The perimeter of a triangular prism is 36 cm and lateral surface area …
brainly.in/question/8172601
Find the volume of a regular hexagonal prism of side 28cm and …
Given :– In a block building game, Belén has 56 cubes of 1 unit in side length. Using all of them, she built a rectangular prism with a base perimeter of 22 unit lengths. What is the height of the prism ?
Answers choices: 8,7,6,4,3,2,1
Answer :–
we know that,
Let , height of prism is H unit .
so,
→ Volume of prism = Volume of cubes of 1 unit side length
→ (L * B) * H = 56 * (1)³
→ (L * B) * H = 56
now, given that,
→ 2(L + B) = 22
→ (L + B) = 11
taking, possible values of L and B, and if we assume that , all L , B and H are positive integers , then,
therefore, we can conclude that, values of L and B are 7 and 4 .
hence,
→ 7 * 4 * H = 56
→ H = 2 unit (Ans.)
[ Note :- In question it should be mentioned that H must a integer . otherwise we have to check options. ]
Learn more :-
यदि किसी ठोस घन की प्रत्येक भुजा में 150% की वृद्धि
की जाए, तो इसके पृष्ठीय क्षेत्रफल में हुई प्रतिशत वृद्धि
https://brainly.in/question/33888661
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चौडाई के अनुदिश मोड़कर एक बेलन बनाया जाता है। इस बेलन का…
https://brainly.in/question/37931048
Given : In a block building game, Belén has 56 cubes of 1 unit in side length. Using all of them, she built a rectangular prism with a base perimeter of 22 unit lengths.
To Find : height of the prism
8,7,6,4,3,2,1
Solution:
a base perimeter of 22 unit lengths.
Which can be
Base perimeter = 2 ( l + b)
2 (1 + 10)
2 ( 2 + 9)
2 ( 3 + 8)
2 ( 4 + 7)
2 ( 5 + 6)
now l * b * h = 56
only possible when
4 * 7 * 2 = 56
Hence base area 4 * 7
and height is 2
height of the prism is 2 unit
Learn More
The perimeter of a triangular prism is 36 cm and lateral surface area …
brainly.in/question/8172601
Find the volume of a regular hexagonal prism of side 28cm and …
brainly.in/question/13396657