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Sindrei [870]
3 years ago
15

The volume of a cube is 125m3 if I L of a paint covers 6m2, how many liters of paint are needed to paint the outside of the cube

Mathematics
1 answer:
Effectus [21]3 years ago
6 0

Answer:

36 liters

Step-by-step explanation:

step 1

Find the length side of the cube

we know that

The volume of the cube is given by

V=b^3

we have

V=125\ m^3

substitute

125=b^3

solve for b

b=5\ m

step 2

Find the surface area of the cube

The surface area of a cube is equal to

SA=6b^2

substitute the value of b

SA=6(6)^2=216\ m^2

step 3

Find out how many liters of paint are needed to paint the outside of the cube

we know that

1 L of a paint covers 6m2

so using proportion

\frac{1}{6}\ \frac{L}{m^2} =\frac{x}{216}\ \frac{L}{m^2} \\\\x=216/6\\\\x=36\ L

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kirill115 [55]

Answer:

if you want to sketch the trapezoid you will also need other dimensions like height and the length of the parallel sides

8 0
3 years ago
Read 2 more answers
If M is the centroid of triangle GHI, HL=45, JI=63, and KG=60, find the missing measures
AysviL [449]

Answer:

Part a) ML=15\ units

Part b) HM=30\ units

Part c) JM=21\ units

Part d) MI=42\ units

Part e) GM=40\ units

Part f) MK=20\ units

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

A <u><em>centroid</em></u> of a triangle is the point where the three medians of the triangle meet. A median of a triangle is a line segment from one vertex to the mid point on the opposite side of the triangle.

The centroid is located two thirds of the distance from any vertex of the triangle

Part a) Find ML

we have

HL=45\ units

we know that

ML=\frac{1}{3}HL

substitute the given value

ML=\frac{1}{3}(45)

ML=15\ units

Part b) Find HM

we have

HL=45\ units

we know that

HM=\frac{2}{3}HL

substitute the given value

HM=\frac{2}{3}(45)

HM=30\ units

Part c) Find JM

we have

JI=63\ units

we know that

JM=\frac{1}{3}JI

substitute the given value

JM=\frac{1}{3}(63)

JM=21\ units

Part d) Find MI

we have

JI=63\ units

we know that

MI=\frac{2}{3}JI

substitute the given value

MI=\frac{2}{3}(63)

MI=42\ units

Part e) Find GM

we have

KG=60\ units

we know that

GM=\frac{2}{3}KG

substitute the given value

GM=\frac{2}{3}(60)

GM=40\ units

Part f) Find MK

we have

KG=60\ units

we know that

MK=\frac{1}{3}KG

substitute the given value

MK=\frac{1}{3}(60)

MK=20\ units

6 0
3 years ago
Neal is highlighting multiples of 9 on his hundreds chart.what. 3 numbers will he highlight next.
Solnce55 [7]
The next 3 numbers to be highlighted would be 90, 99, and 108.
multiples of 9 is like take 1 times 9 and 2 times 9 and etc.
or you can just keep adding on 9 from the previous number like 81 + 9= 90

8 0
3 years ago
Melissa ran 6 2/5 miles north 2 3/4 west and 2 1/3 south how far did she run
alexgriva [62]

Answer:11.5

Step-by-step explanation:

distance=6 2/5 + 2 3/4 + 2 1/3

d=(5x6+2)/5 + (4x2+3)/4 + (3x2+1)/3

d=32/5 + 11/4 + 7/3

d=(12x32+15x11+20x7) ➗ 60

d=(384+165+140) ➗ 60

d=689 ➗ 60

d=11.5

4 0
3 years ago
The larger of two number is 15 more than three times the smaller number if the sum of the two numbers is 63 find The numbers
Aleks [24]

The two numbers are <u>12 and 51.</u>

<h3>EXPLANATION</h3>

To solve this, I did 63-15, to get 48.

I then divided this by 4, to get the first number, which is <u>12.</u>

To find the second answer, I multiplied 12 by 3, which is 36, and then added the 15 back on, to get <u>51.</u>

<u>51 + 12 = </u><em><u>63</u></em>

3 0
3 years ago
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