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2 years ago

Find the surface area of the composite solid.

Mathematics

1 answer:

Scilla [17]2 years ago

4 0

Answer with Step-by-step explanation:

The given figure is a cuboid.

We know that surface area(S) of cuboid is given by:

S=2(lb+bh+hl)

Where l is the length, b is the breath and h is the height

Here, l=12 mm

b=6 mm

and h=(7+2) mm=9 mm

Surface Area= 2(12×6+6×9+9×12)

=2(72+54+108)

= 2×234

= 468 mm²

Hence, Correct option is:

C. 468 mm squared

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Find the volume of a box with a height that is 4 inches less than the

lbvjy [14]

Answer:

Volume of the box = x^3 - 4x^2

Step-by-step explanation:

V = L × W × H

Where,

V = volume of the rectangular prism

L= Length

W = Width

H = Height

volume of the rectangular prism = length × width × height

Length = x

Width= length = x

Height = x - 4

V = L × W × H

= x * x * (x - 4)

= x^2 (x - 4)

= x^3 - 4x^2

V = x^3 - 4x^2

Volume of the box = x^3 - 4x^2

8 0

2 years ago

Dalls needs 1/4 liter of milk of a recipe is 3/10 of a liter of milk left in the carton.

dolphi86 [110]

Answer:

B)1/20 of a liter

Step-by-step explanation:

1/4 = 5/20

3/10 = 6/20

6/20 - 5/20 = 1/20

Wow.. that was easy XD

5 0

2 years ago

Someone can help??

oee [108]

Answer:

Step-by-step explanation:

let cos^{-1}x=t

cos t=x

when x=1,cos t=1=cos 0

t \rightarrow 0

$\lim_{x \to 1} \frac{1-\sqrt{x}}{(cos ^{-1}x)^2 } \\= \lim_{t \to 0} \frac{1-\sqrt{cos~t}}{t^2} \times \frac{1+\sqrt{cos~t}}{1+\sqrt{cos ~t}} \\= \lim_{t \to 0} \frac{1-cos~t}{t^2(1+\sqrt{cos~t})}} \\= \lim_{t \to 0 }\frac{2 sin^2~\frac{t}{2}}{t^2(1+\sqrt{cos~t})}} \\= 2\lim_{t \to 0 }(\frac{sin~t/2}{\frac{t}{2} })^2 \times \frac{1}{4} \times \lim_{t \to 0 }\frac{1}{1+\sqrt{cos~t}} \\=\frac{2}4} \times 1^2 \times \frac{1}{1+\sqrt{cos~0}} \\=\frac{1}{2} \times \frac{1}{1+1} \\=\frac{1}{4}$

4 0

3 years ago

Name the smallest even number divisible by 6 and 9.

Step2247 [10]

Answer:

Step-by-step explanation:

5 0

2 years ago

a ferry traveled 1/6 of the distance between two ports in 3/7 hour. The ferry travels at a constant rate.how much do the ferry t

Dahasolnce [82]

Answer:

1 hour = 7/18 of the distance between two ports

Step-by-step explanation:

Given that:

In 3/7 hours distance traveled is 1/6

For finding distance in one hour, divide both sides by 7/3 so that 3/7 would be cancelled out:

3/7 * 7/3 hours = 1/6 * 7/3 distance

By simplifying:

1 hour = 7/18 of the distance between two ports

This means that in one hour 7/18 of the distance is covered between two ports.

i hope it will help you!

8 0

3 years ago

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