All categories

3 years ago

What is the total surface area of the figure shown?

Mathematics

1 answer:

4vir4ik [10]3 years ago

4 0

Given:

Composite figure.

The figure splitted into two shapes.

One is vertical cuboid and other is horizontal cuboid

To find:

Total surface area of the figure

Solution:

Vertical cuboid:

Length = 14 inches

Width = 12 inches

Height = 24 inches

Surface area = 2(lw + wh + lh)

= 2(14 × 12 + 12 × 24 + 14 × 24)

= 2(168 + 288 + 336)

Surface area = 1584 square inches

Horizontal cuboid:

Length = 14 inches

Width = 10 inches

Height = 30 - 12 = 18 inches

Surface area = 2(lw + wh + lh)

= 2(14 × 10 + 10 × 18 + 14 × 18)

= 2(140 + 180 + 252)

Surface area = 1144 square inches

Total surface area = 1584 + 1144

= 2728 square inches

The total surface area of the figure is 2728 square inches.

You might be interested in

The width of a rectangle is 14 cm less than

ratelena [41]

Answer:

the length should be 28.5 cm.

Step-by-step explanation:

i used the equation 2L+2W=P (or L+L+W+W=P)

(length + length +width + width = perimeter)

I plugged the given information into this equation so i had:

2L+(2L-14)=86

then i solved for L

(this is what that work would look like if you need it):

2L + 2(L - 14) = 86

1. distribute the 2 in 2(L-14):

2L + 2L - 28 = 86

2. combine like terms:

4L - 28 = 86

3. add 28 to both sides:

4L = 114

4. divide both sides by 4

L = 28.5

hope this helped :)

6 0

3 years ago

Please help me now plz I will mark you brainliest

Sladkaya [172]

Answer:

x = 6

Step-by-step explanation:

Every side of an isosceles triangle will always be the same

5 0

3 years ago

Read 2 more answers

Will give brainliest to right answer

ladessa [460]

Answer: 3.

Step-by-step explanation:

7 0

3 years ago

25% multiplied by ? = 34

Luda [366]

The answer is the problem is 136.

6 0

3 years ago

water is pouring down into a cuboidal reservoir at the rate of 60 liters per minute.if the volume of the reservoir is 108m cube,

cricket20 [7]

Answer:

30 hours it will take to fill the reservoir.

Step-by-step explanation:

Given:

Water is pouring down into a cuboidal reservoir at the rate of 60 liters per minute.

The volume of the reservoir is 108 m³.

Now, to find the number of hours it will take to fill the reservoir.

As given the rate is liters per minute so we convert the volume into liters:

1 m³ = 1000 liters.

Thus, 108 m³ = 1000 × 108 = 108000 liters.

So, the volume of reservoir = 108000 liters.

And the rate of water pouring down = 60 liters per minute.

Now, to get the number of hours to fill the reservoir:

$\frac{volume\ of\ reservoir}{rate\ of\ water\ pouring\ down}$

$=\frac{108000}{60}$

$=1800\ minutes.$

Now, to convert the 1800 minutes to hours by dividing 1800 by 60 as 1 hour is equal to 60 minutes:

$\frac{1800}{60}$

$=30\ hours.$

Therefore, 30 hours it will take to fill the reservoir.

4 0

3 years ago