CSLB - Math with 100% correct answers 2024/2025

CSLB - Math A truck can haul 10 cubic yards at a cost of $30 per cubic yard. Each trip has a $150 delivery fee. How much will it cost to excavate a 20'×40'×10' area? - correct answer Step 1: Calculate the fill volume in cubic yards.20' × 40' × 10' = 8,000 cubic feet8,000 cu. ft. ÷ 27 (number of cubic feet in a cubic yard) = 296.296 cubic yards Step 2: Calculate the total number of trucks required.296.296 cu. yd. ÷ 10 cu. yd. per truck = 29.629 trucks Round up to 30 trucks Step 3: Calculate the price of one full truck, including the delivery fee.10 cu. yd. × $30 per cu. yd. = $300 per truckload.$300 + $150 delivery fee = $450 per truck Step 4: Calculate the total cost.30 trucks × $450 per truck = $13,500 A 1/6 roof pitch is equal to a ______ slope? a. 3:12 b. 4:12 c. 6:12 d. 8:12 - correct answer b. 4:12 How many 8" x 8" x 16" blocks are required for a wall 8 feet high and 60 feet long? - correct answer Step 1. Find the area of the wall in inches.Height: 8 x 12 = 96"Width: 60 x 12 = 720"Area: 96" x 720" = 69120 square inches Step 2. Find the coverage area of each block. We need height and length, but we don't need the width of the block.8" x 16" = 128 square inches Step 3. Divide the area of the wall by the coverage area of the block.69120 ÷ 128 = 540 blocks How many 8" x 8" x 16" blocks are required for a wall 8 feet high and 60 feet long with a 1" mortar? - correct answer Step 1. Find the area of the wall in inches.Height: 8 x 12 = 96"Width: 60 x 12 = 720"Area: 96" x 720" = 69120 square inches Step 2. Find the coverage area of each block including 1 inch mortar. To account for mortar, simply add mortar dimension to the height and the length of each block.9" x 17" = 153 square inches Step 3. Divide the area of the wall by the coverage area of the block and mortar.69120 ÷ 153 = 452 blocks