Question

directions: questions #1-1use of a calculator.1. what is 46 × 92 closest to?a. 6,000b. 5,500c. 3,500d. 4,5002. look at the two figures below (a rectangle and a rectangular prism).which statement correctly compares them?a. both figures have 6 faces.b. both figures have 4 sides.c. the rectangle has 4 sides and the rectangular prism has 6 faces.d. the rectangle has 4 vertices and the rectangular prism has 4 edges.

Explanation:

Step1: Estimate 46 as 50

$46 \approx 50$

Step2: Estimate 92 as 90

$92 \approx 90$

Step3: Calculate the product of estimates

$50 \times 90 = 4500$

Step4: Verify exact product (optional)

$46 \times 92 = 4232$, which is closest to 4500.

Step5: Analyze 2D/3D figure properties

A rectangle (2D) has 4 sides/4 vertices; a rectangular prism (3D) has 6 faces/12 edges/8 vertices. Match to options.

Answer:

1. D. 4,500
2. C. The rectangle has 4 sides and the rectangular prism has 6 faces.