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3 years ago

Find the surface area of the rectangular prism

Mathematics

1 answer:

lorasvet [3.4K]3 years ago

8 0

Answer:

430 cm squared

Step-by-step explanation:

SA= 2(Length x Base, Base x Height, Height x Length)

15cm x 5cm +

15cm x 7xm +

7cm x 15cm =

215cm

215cm x 2 = <u>430 cm squared.</u>

(it's perimeter of a 3D object so it must be squared, then volume would be cubed)

I hope this helps <3

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√70 is between which two numbers on the number line?

Leto [7]

Answer:

C) 8 and 9

Step-by-step explanation:

We know that 70 is between two perfect squares.

The square numbers 64 and 81 can help us solve this question.

64<70<81

We take square root to get:

$\sqrt{64} \: < \: \sqrt{70} < \sqrt{81}$

We simplify this to get:

$8 \: < \: \sqrt{70} \: < \: 9$

Therefore √70 is between 8 and 9.

The correct option is C.

6 0

3 years ago

Let f(x) = –4x and g(x) = 5x2. Andrew finds the composition [f o g](x) as shown below. What error did Andrew make? = 5(–4x)2 = 5

Elden [556K]

F(g(x)) means you take the g function and put it into x in the f function. He took the function and put it into the g, which was the incorrect order. He should have had this: $f(g(x))=-4(5x^2)$

7 0

3 years ago

Read 2 more answers

Find the surface area of the equilateral triangular prism below.

velikii [3]

Answer:

Area of a triangle = bh/2

Area of a rectangle = bh

The area of the triangles are the same, the area of the rectangles are the same.

triangle: 9x8/2

72/2 = 36

Rectangle: 8x14=112

There are 2 triangles and 3 rectangles so,

2(36)+3(112)

72+336= 408 in²

3 0

3 years ago

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 21m. what is the volume of the sphere.

Goshia [24]

Answer:

The volume of the sphere is 14m³

Step-by-step explanation:

Given

Volume of the cylinder = $21m^3$

Required

Volume of the sphere

Given that the volume of the cylinder is 21, the first step is to solve for the radius of the cylinder;

<em>Using the volume formula of a cylinder</em>

The formula goes thus

$V = \pi r^2h$

Substitute 21 for V; this gives

$21 = \pi r^2h$

Divide both sides by h

$\frac{21}{h} = \frac{\pi r^2h}{h}$

$\frac{21}{h} = \pi r^2$

The next step is to solve for the volume of the sphere using the following formula;

$V = \frac{4}{3}\pi r^3$

Divide both sides by r

$\frac{V}{r} = \frac{4}{3r}\pi r^3$

Expand Expression

$\frac{V}{r} = \frac{4}{3}\pi r^2$

Substitute $\frac{21}{h} = \pi r^2$

$\frac{V}{r} = \frac{4}{3} * \frac{21}{h}$

$\frac{V}{r} = \frac{84}{3h}$

$\frac{V}{r} = \frac{28}{h}$

Multiply both sided by r

$r * \frac{V}{r} = \frac{28}{h} * r$

$V = \frac{28r}{h}$ ------ equation 1

From the question, we were given that the height of the cylinder and the sphere have equal value;

This implies that the height of the cylinder equals the diameter of the sphere. In other words

$h = D$ , where D represents diameter of the sphere

Recall that $D = 2r$

So, $h = D = 2r$

$h = 2r$

Substitute 2r for h in equation 1

$V = \frac{28r}{2r}$

$V = \frac{28}{2}$

$V = 14$

Hence, the volume of the sphere is 14m³

4 0

3 years ago

Read 2 more answers

HELP!!! I need help ASAP!!! PLEASE!!

bekas [8.4K]

Top second one under grass and across from minor 77.972.

7 0

3 years ago

Find the surface area of the rectangular prism​

Find the surface area of the rectangular prism