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
9966 [12]
3 years ago
5

Sasha's grandmother loves to travel. She sends Sasha postcards from all around the world. Sasha keeps the postcards in a special

box. The box has a square base and a square pyramid for a lid.What is the combined volume inside the box and lid?

Mathematics
1 answer:
Alinara [238K]3 years ago
6 0
To find the total volume of the box, you will find the volumes of each separate piece.

Use the formulas for finding the volumes of each:

V = 1/3 Bh (pyramid);  B stands for the area of the base shape
      1/3 x 8 x 8 x 3
V = 64 cubic inches

V = Bh (prism)
      8 x 8 x 4
V = 256 cubic inches

256 + 64 = 320 cubic inches

The total volume of the box is 320 cubic inches.
You might be interested in
Tres corredoras salieron a entrenar Amalia recorrio 4,121 km ; Luciana 1,55 km mas que Marta y esta 1 8/2 km menos que Amalia. ¿
tatiyna

Answer:

Luciana y Marta recorren 4,351 kilómetros y 2,801 kilómetros, respectivamente.

Step-by-step explanation:

El enunciado tiene un error tipográfico que induce a equivocación. El enunciado correcto es el siguiente: <em>Tres corredoras salieron a entrenar Amalia recorrió 4,121 kilómetros; Luciana 1,55 kilómetros más que Marta y esta 1 8/25 kilómetros menos que Amalia. ¿Cuántos kilómetros recorrió Luciana y Marta? </em>

Sean x,y,z las distancias recorridas por Amalia, Marta y Luciana, en kilómetros. A partir de la descripción del enunciado tenemos el siguiente sistema de ecuaciones lineales:

Amalia

x = 4,121\,km (1)

Marta

y = x-1.32\,km (2)

Luciana

z = y + 1.55\,km (3)

La solución del sistema de ecuaciones lineales es:

x =4,121\,km, y = 2,801\,km, z = 4,351\,km

Luciana y Marta recorren 4,351 kilómetros y 2,801 kilómetros, respectivamente.

8 0
3 years ago
Which shape doesn’t belong belong? Explain your reasoning.
Kazeer [188]
The trapezoid on the bottom right doesn’t belong. All the other quadrilaterals have opposite sides that are congruent.
7 0
3 years ago
Read 2 more answers
Find the volume of the prism
Andrei [34K]

Answer:

440cm³

Step-by-step explanation:

Area of trapezium base=

\frac{1}{2} \times (a + b) \times h

\frac{1}{2} \times (8 + 14) \times 4

\frac{1}{2} \times 22 \times 4 \\  =  \frac{88}{2}  \\  = 44 {cm}^{3}

Volume=Area or trapezium x Height between trapezium ends

= 44 \times 10 \\  = 440 {cm}^{3}

8 0
3 years ago
Factor completely<br> 2c^3-22c^2+48c
Bingel [31]

Answer:

2c(c - 3)(c - 8)

Step-by-step explanation:

Hello!

Factor:

  • 2c³ - 22c² + 48c
  • 2c(c² - 11c + 24)

Think: What two numbers multiply to 24, and add up to -11?

Answer: -8 and -3

Split up the -11c into -8c and -3c:

  • 2c(c² - 8c - 3c + 24)      (factor each pair)
  • 2c( c(c - 8) - 3(c - 8))  
  • 2c(c - 3)(c - 8)
7 0
3 years ago
Find the missing side lengths. Leave your answers as radicals in simplest form
tino4ka555 [31]

We have the triangle 30° - 60° - 90°.

The lenght of the sides are in proportion: 1:2:\sqrt3\to a:2a:a\sqrt3

a=y\\2a=x\\a\sqrt3=5\\\\a\sqrt3=5\qquad\text{multiply both sides by}\ \sqrt3\\\\3a=5\sqrt3\qquad\text{divide both sides by 3}\\\\a=\dfrac{5\sqrt3}{3}\\\\2a=2\cdot\dfrac{5\sqrt3}{3}=\dfrac{10\sqrt3}{3}\\\\Answer:\ x=\dfrac{10\sqrt3}{3},\ y=\dfrac{5\sqrt3}{3}

6 0
3 years ago
Other questions:
  • Regina has wet weather on about 3/10 of the days in a year. It has wet weather on about four times as many days as it has fog. O
    14·1 answer
  • If cos θ = 5/13, use the Pythagorean Identity to find sin θ.
    8·1 answer
  • Can anybody tell me why I got the answer for rank 3
    7·1 answer
  • 3/5 of a number is 21<br><br>Find the number. ​
    14·1 answer
  • G(n) = |n|; Find g(-8)
    12·1 answer
  • Can someone help me with the problem that I posted pls?
    10·1 answer
  • Can anyone answer this please
    5·1 answer
  • A barn is shaped like a rectangular prism with a triangular prism on top as shown. The exterior four walls and two triangular fa
    6·1 answer
  • Simplify the expression 5^3 x 5^-5<br><br> A. 5^2<br> B. 1/5<br> C. 1/5^2<br> D. -52
    6·1 answer
  • In AABC, if AB = 14 and BC = 9, AC may be equal to<br> A. 13<br> B. 23<br> C. 25<br> D. 5
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!