In the diagram below, three equally-sized boxes contain different masses. Use the
diagram to answer questions 1-2.
Box A= 1 star
Box B= 3 stars
Box C= 17 stars
1. Which of the following statements is true?
a. The volume of box A is greater than the volume of box C.
b. The volume of box A and the volume of box B are less than the volume of
box C.
c. The volume of box A is the same as the volume of box B and the volume
of box C.
2. Which of the following lists the boxes in order of increasing mass?
a. B, C, A
b. A, B, C
c. C, B, A
To answer questions 1-2, we need to analyze the information given in the diagram. Let's break down each question and determine the correct answer.
1. To compare the volumes of the boxes, we can use the number of stars as a representation. Based on the information provided, Box A contains 1 star, Box B contains 3 stars, and Box C contains 17 stars. Now, we can compare the statements:
a. The volume of box A is greater than the volume of box C.
This statement is false since Box C, with 17 stars, has a greater volume than Box A, which has only 1 star.
b. The volume of box A and the volume of box B are less than the volume of box C.
This statement is true since both Box A (1 star) and Box B (3 stars) have fewer stars (less volume) than Box C (17 stars).
c. The volume of box A is the same as the volume of box B and the volume of box C.
This statement is false since Box A (1 star) and Box B (3 stars) have different volumes.
Therefore, the correct answer to question 1 is (b) The volume of box A and the volume of box B are less than the volume of box C.
2. To determine the order of increasing mass, we need to compare the number of stars in each box:
Box A = 1 star
Box B = 3 stars
Box C = 17 stars
Based on this information, we can arrange the boxes in ascending order of mass:
a. B, C, A
In ascending order, Box B has a higher mass than Box A, and Box C has the highest mass among the three. Therefore, the correct answer is not (a).
b. A, B, C
In this order, Box A has the lowest mass, followed by Box B, and Box C has the highest mass. Given the information, the correct answer is (b) A, B, C.
c. C, B, A
This order is incorrect since it suggests that Box C has the lowest mass, which contradicts the information provided.
Hence, the correct answer to question 2 is (b) A, B, C.
three equally-sized boxes
second part, no diagram.