Factor 3x+1 is I’m a robot
Answer:
Step-by-step explanation:
Please find the attachment.
We have been given that a container is shaped like a triangle prism. Each base of container is an equilateral triangle with each side 6 cm. The height of container is 15 cm.
To find the lateral surface area of our given container we will use lateral surface area formula of triangular prism.
, where, a, b and c represent base sides of prism and h represents height of the prism.
Upon substituting our given values in above formula we will get,
Therefore, lateral surface area of our given container is 270 square cm.
Answer:
a = 29
b = 64
c = 87
Step-by-step explanation:
Let the angles be a (smallest), b, and c (largest).
We know that a triangle's angles must add up to 180 degrees, so we can construct the following equations.
a + b + c = 180
c = 3a
b = a +35
With some solving and substitution...
a + (a + 35) + c = 180
2a + c = 145
2a + (3a) = 145
5a = 145
a = 29
and therefore,
b = 29 + 35 = 64
c = 3(29) = 87
The number of cubes with edge length ⅕ inch that will fit in the prism is: 1,920 cubes
<h3>Volume of a Rectangular Prism</h3>
Volume of a rectangular prism = length × width × height
<h3>Volume of a Cube</h3>
A cube has equal edge length. Therefore, the volume of a cube = a³, where a is the edge length.
Given the following,
Dimensions of Priya's Rectangular Prism:
2⅖ = 2.4 inches
3⅕ = 3.2 inches
2 inches
Volume of the Rectangular Prism = 2.4 × 3.2 × 2 = 15.36 in.³
Dimension of the cubes:
edge length = ⅕ inch
Volume of the cube = (⅕)³ = 0.008 in.³
The number of ⅕ inch edge cube that will fit in the prism = Volume of Prism / Volume of Cube
= 15.36/0.008 = <em>1,920 cubes </em>
Learn more about Volume of Prism on:
brainly.com/question/9761614
