1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
seropon [69]
3 years ago
5

A carpenter constructed a rectangular sandbox with a capacity of 10 cubic feet. If the carpenter were to make a similar sandbox

twice as long, twice as wide, and twice as high as the first sandbox, what would be the capacity, in cubic feet, of the second sandbox?(A) 20(B) 40(C) 60(D) 80(E) 100
Mathematics
1 answer:
jeka57 [31]3 years ago
7 0

Answer:

(D)80 ft³

Step-by-step explanation:

The volume volume of the sandbox is = L × W × H

Where L = Length, W= width, H= Height.

A sandbox has the same shape as a cuboid.

A cuboid is a solid shape with rectangular base and sides. It has six rectangular faces if all sides are closed.

From the question,

LWH = 10ft³ ........................ (1).

If a similar sandbox twice as long, twice as wide and twice as high.

∴ L₍n₎= 2L, W₍n) =2W, H₍n₎ = 2H

Where L₍n₎, W₍n), H₍n₎ is the new Length,  new Width and  new Height of the similar sandbox.

∴L₍n₎ ×W₍n)× H₍n₎  = 2L × 2W × 2H

   and Volume of the new sandbox = L₍n₎ ×W₍n)× H₍n₎

 ⇒Volume of the new sandbox = 2 × 2 ×2 ×L×W×H

     Volume of the new sandbox = 8 × LWH....................(2)

    In equation(1) LWH = 10ft³.

     Substituting the value in equation(2)

    ∴Volume of the new(similar) sandbox= 8 × 10

       =80ft³.

Therefore the capacity of the second sandbox in cubic feet is 80.

The answer is option (D).

     

You might be interested in
Find the greatest common factor of the expressions:
saw5 [17]

Answer:

6n^2z is the greatest common factor

5 0
2 years ago
Read 2 more answers
What is the least common denominator of 5\6 and 3/8
almond37 [142]

Answer:

24

Step-by-step explanation:

3 0
3 years ago
A radius is an angle that connects any point on the circle to the center of that circle.
Flura [38]

The answer is false.

A radius is a segment that connects any point on the circle to the center of said circle. An angle requires two lines, and a radius only consists of one line, which further proves that this statement is false.

6 0
3 years ago
Suppose that the equation V = 5x2 60x + 8000 represents the value of
umka21 [38]
Sorry I can’t buddy........................................................:(
8 0
3 years ago
Consider the following figure where l1 and l2 are parallel and cut by transversals g1
vampirchik [111]

Answer:

helppppp

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • 23 - 4 - 6 + 7 + 5 - 1 x 0 + 1 = x<br> Solve the equation.
    11·1 answer
  • Express 0.0000000734 in scientific notation.
    12·1 answer
  • Why do you have to add 32 degrees when you are converting Celsius to ferenheit.
    15·1 answer
  • name at least two Coastal features that are shaped by erosion and two costal features that are shaped by deposition
    15·1 answer
  • Write 843 in scientific notation.​
    15·1 answer
  • Someone pls help me with this
    5·1 answer
  • Robin has a piece of ribbon that is 4.5 meters long. She wants to cut it into pieces that are .05 meters long. How many pieces o
    6·2 answers
  • which of these expressions or phrases can be used to represent the model? Choose ALL of the correct answers iready
    11·2 answers
  • Given g(x) = -x – 4, solve for x when g (x)= -4
    14·1 answer
  • A city planner is mapping out some new features for a triangular park. She sketches the park on grid paper. The coordinates of t
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!