On a coordinate graph,which of the following is true of Quadrant 3?

A room is 30m long , 24m broad and 18m high. Find (a) Length of the longest rod that can be placed in the room. (b) Its tolal su

melomori [17]

Answer:

Part a) The length of the longest rod that can be placed in the room is 42.43 m

Part b) The total surface area is $SA=3,384\ m^2$

Part c) The volume is equal to $V=12,960\ m^3$

Step-by-step explanation:

Part a) Find the length of the longest rod that can be placed in the room

The room is in the shape of a rectangular prism, so the longest rod that can be placed in the room is equal to the diagonal of the rectangular prism

Let

d -----> diagonal of the base of the room

D ----> diagonal of the rectangular prism

step 1

Find the diagonal of the base

Applying the Pythagoras Theorem

$d^{2}=30^{2}+24^{2}$

$d^{2}=1,476$

$d=\sqrt{1,476}\ m$

step 2

Find the diagonal of the rectangular prism

The legs of the diagonal of the rectangular prism are the diagonal of the base and the height of the room

Applying the Pythagoras Theorem

$D^{2}=(\sqrt{1,476})^{2}+18^{2}$

$D^{2}=1,476+324$

$D^{2}=1,800$

$D=42.43}\ m$

Part b) Find the total surface area

we know that

The total surface area of the room is equal to

$SA=2B+PH$

where

B is the area of the base of the room

P is the perimeter of the base of the room

H is the height of the room

so

$SA=2[(30)(24)]+2[30+24](18)$

$SA=1,440+1,944$

$SA=3,384\ m^2$

Part c) Find the volume

we know that

The volume of the room is equal to

$V=BH$

where

B is the area of the base of the room

H is the height of the room

so

$V=[(30)(24)](18)$

$V=12,960\ m^3$

5 0

3 years ago

What is the slope of a line perpendicular to the line y = -3x + 9?

Anna35 [415]

Answer: 1/3

Step-by-step explanation:

The slope of a perpendicular line is the opposite reciprocal.

For example, if slope of line A is a/b, then slope of line B which is perpendicular will be -b/a.

Substitute 1 and 3 for a and b. Apply the formula and get 1/3.

6 0

3 years ago

A residential community was polling households to find out whether they wanted to get their TV signal from a satellite or cable.

ziro4ka [17]

Answer:

What are the results? What's the question?

Step-by-step explanation:

3 0

2 years ago

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In a game the player wins if he rolls a 6 on a number cube. If the number cube is rolled 18 times, then what is a reasonable pre

monitta

Answer:

15/18

Step-by-step explanation:

A single di has 6 sides, meaning the probability of rolling a 6 is 1/6. So if you roll a di 18 times you would probably get 6 three times. Meaning the number of unsuccesful rolls would be (18/18 - 3/18). Hope this helps.

8 0

2 years ago

30% of what number is 6

Hitman42 [59]

Answer:

20

Step-by-step explanation:

6/0.3=20

6 0

3 years ago

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