1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
telo118 [61]
3 years ago
15

Chiyo has a toolbox with the shape below. A rectangular prism with a length of 8 inches, width of 15 inches, and height of 6 inc

hes. A triangular prism with a triangular base with base 8 inches and height 3 inches. The prism has a height of 15 inches. Which statements are true about the toolbox? Select two options. The shape can be broken into a rectangular prism and a triangular prism. The shape can be broken into a rectangular prism and a rectangular pyramid. The formula for the volume of this figure is V = B h + one-third B h. The volume of the toolbox is 840 inches cubed The volume of the toolbox is 900 inches cubed
Mathematics
1 answer:
guajiro [1.7K]3 years ago
3 0

Answer:

Option A and E.

Step-by-step explanation:

It is given that Chiyo has a toolbox with the shape of a rectangular prism with a length of 8 inches, width of 15 inches, and height of 6 inches. A triangular prism with a triangular base with base 8 inches and height 3 inches. The prism has a height of 15 inches.  

The shape can be broken into a rectangular prism and a triangular prism.

So, option A is correct.

Volume of rectangular prism =l\times b\times h

Where, l is length , b is width and h is height.

V_1=8\times 15\times 6=720

Volume of triangular prism =Bh

Where, B is base area and h is height.

Area of triangular base is

B=\dfrac{1}{2}\times 8\times 3=12

So, volume of triangular prism is

V_2=12\times 15

V_2=180

So, volume of tool box is

V=V_1+V_2=720+180=900\text{ inches cubed}

Therefore, the correct option is E.

You might be interested in
Help don’t understand
marusya05 [52]

Answer:

f(-14) = -6

f(-4) = 6

f(12) = 6

f(0) = -3

negative

Step-by-step explanation:

f(-14) = -6

This is because when x is -14, y is -6, as seen in the graph

f(-4) = 6

This is because when x is -4, y is 6, as seen in the graph

f(12) = 6

This is because when x is 12, y is 6, as seen in the graph

f(0) = -3

This is because when x is 0, y is -3, as seen in the graph

is f(4) positive or negative?
negative

This is because when x is 4, y is -6, as seen in the graph

6 0
2 years ago
You go to the outlet mall with a friend and buy a jacket for $49.00 and new Vans for $55.00. Sales tax in Texas is 8.25%. How mu
Vlada [557]

Answer:

Amount spent after sales tax = $112.58

Step-by-step explanation:

Given that:

Cost of jacket = $49.00

Cost of new Vans = $55.00

Total spent = 49.00 + 55.00 = $104.00

Sales tax = 8.25%

Amount of sales tax = \frac{8.25}{100}*104

Amount of sales tax = $8.58

Total after sales tax = 104.00 + 8.58 = $112.58

Hence,

Amount spent after sales tax = $112.58

3 0
2 years ago
you are in charge of buying flowers for the flower beds around your school you cannot spend over $80 on flowers the flowers cost
Elena-2011 [213]
You can buy 7 flats of flowers. this is because 10.99 is close to 11.00, and 7 x 11 is 77. and you cant do 77 + 11 to get less then 80.

the answer: 7 flats of flowers

hope it helps :)
4 0
3 years ago
The point A has co-ordinates (-4,6) and the point B has co-ordinates (7,-2).
Serhud [2]

Answer:

√185 or 13.60 units to the nearest hundredth.

Step-by-step explanation:

For the points (x1,y1) and (x2,y2) the length between the points is given by:

L = √ [ (x2-x1)^2 + (y2-y1)^]

So here we have:

Length of AB  √ [ (7- - 4)^2 + (-2 - 6)^2]

=  √ (121 + 64)

= √185.

3 0
3 years ago
Read 2 more answers
Graph the line with slope 1/5 and y-intercept-2
Arturiano [62]
You want to start at -2 on the y line wich is the vertical line then 1/5 is rise over run so you rise (go up) one and run ( go right)5
8 0
2 years ago
Other questions:
  • Victoria is 4 years older than her neighbor . The sum of their ages is no more than 14 years .
    15·2 answers
  • Write an expression for the total cost of admission and r rides if an amusement park charges $5 for admission and $2 for each ri
    15·2 answers
  • Find the circumference of a circle with diameter 8 meters
    14·2 answers
  • Number 14 only. Please I really need help on this.
    12·1 answer
  • Part B A sales person earned 1375
    10·1 answer
  • In 20 years charles will bevthree time as old as he is now. how old is he now?
    11·1 answer
  • A baker's bread recipe calls for
    13·1 answer
  • Please answer immediately!!!!!!!!
    12·1 answer
  • Plss help me !!!! I need the answer now :(
    10·2 answers
  • Solve this math problem first you get a free crown!
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!