1. A right rectangular prism has a length of 15 millimeters, width of 3 millimeters, and height of 4 millimeters.
What is the surface area of the prism?
My answer: 234mm squared
2 x (15 x 3) + (15 x 4) + (3 x 4) = 234
2. A right rectangular prism has a length of 9.6 millimeters, width of 5 millimeters, and height of 7 millimeters.
What is the volume of the rectangular prism?
My Answer: 9.6 x 5 x 7 = 336
3. A figure has 8 sides; all sides meet at right angles. The left-most vertical side measures 31 meters. The lowermost horizontal side measures 69 meters. The right-most vertical side measures 31 meters. The upper right horizontal side measures 23 meters. The middle horizontal side measures 23 meters. The upper middle left vertical side measures 12 meters.
My Answer: 12 x 23 = 276
31 x 69 - 276 = 1863
4. When the temperature is 68°F, the speed of sound in air is approximately 343 meters per second. Approximately how many kilometers does sound travel in five seconds?
My Answer:
1.71500.
343 x 5 = 1715m. Sence 1km is equal to 1000m then:
1715/1000 = 1.71500
5. Find the area of the parallelogram.
A parallelogram has a lower side measuring 24 centimeters and a right side measuring 9 centimeters. A dashed vertical segment with endpoints on the upper and lower sides is 8 centimeters and meets the lower left vertex at a right angle.
My Answer: 192cm.
24 x 8 = 192
( I want to see if my work is correct )
#1 and #2 are correct
#3 I cannot follow your description. You say you have a figure with 8 sides, that would normally be an octagon
Then you say: all sides meet at right angles. This is not possible
#4 agree
#5, area of a parallelogram = base x height
= 24(8) = 192 , you had that
It looks like the 9 cm information was distracting data.
As a rule, you are not able to copy and past URLs on this forum.
However, you can get around it by either dropping the first part and
starting with "www." or else do this:
h ttps://www.jiskha.com/questions/1894079/1-a-right-rectangular-prism-has-a-length-of-15-millimeters-width-of-3-millimeters-and
notice I left a space at the front, so if you copy and paste this, then delete
the space it will work.
It appears the algorithm set up by the administrator does not catch this
loophole.
Okay. Thank you for checking! For question 3 is an image from the unit i was doing on connexus but i can't quite fully explain the shape. And i don't know if i'm allowed to post links on here for the image.
Okay. Here's the image for question 3
h ttps://s3.amazonaws.com/tn8prev-prd-cn-tn8general/items/2/c668d584-b4f9-43d5-b4f2-83bdf76915b5/assets/WPREP_QID979089.png
Ok, got it
That is much easier than you think it is
Imagine the piece NOT cut out, you would have a rectangle of
69 by 31 m, for an area of 2139 m^2
now cut out the small rectangle of 23 by 12 m, which has an
area of 276 m^2
so the area of the remaining part = 2139 - 276 or
1863 m^2
1. Your answer for the surface area of the right rectangular prism is correct. You correctly calculated the area of each face and added them together, using the formula 2(length × width) + 2(length × height) + 2(width × height).
2. Your answer for the volume of the right rectangular prism is correct. You correctly multiplied the length, width, and height together to find the volume.
3. Your answer for the figure with 8 sides is incorrect. It seems like you attempted to calculate the area of the shape, but you multiplied the wrong values. To find the area of a figure with 8 sides, you need to split it into simpler shapes and calculate their areas individually. In this case, you have a rectangle and a triangle.
The rectangle has a length of 69 meters and a height of 31 - 12 = 19 meters (subtracting the length of the upper middle left vertical side from the left-most vertical side). The area of a rectangle is given by length × width, so the area of the rectangle is 69 × 19 = 1311 square meters.
The triangle has a base of 23 meters and a height of 12 meters. The formula for the area of a triangle is 0.5 × base × height, so the area of the triangle is 0.5 × 23 × 12 = 138 square meters.
To find the total area of the figure, you add the areas of the rectangle and the triangle: 1311 + 138 = 1449 square meters.
4. Your answer for the distance sound travels in five seconds is incorrect. The speed of sound is given as 343 meters per second. To find the distance sound travels in five seconds, you multiply the speed of sound by the time: 343 × 5 = 1715 meters.
To convert the distance from meters to kilometers, you divide by 1000 because there are 1000 meters in a kilometer. So, 1715 meters is equal to 1715 ÷ 1000 = 1.715 kilometers.
Therefore, the correct answer is 1.715 kilometers.
5. Your answer for the area of the parallelogram is correct. You correctly multiplied the length of the lower side (24 centimeters) by the length of the vertical segment (8 centimeters) to find the area of the parallelogram: 24 × 8 = 192 square centimeters.
So overall, your work is correct for questions 1, 2, 4, and 5. However, your answer for question 3 is incorrect.